LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 680/50, 470/634

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 680/50, 470/634 i.e 10/15850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 680/50, 470/634.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 680/50,470/634?

Given fractions are 680/50,470/634

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 680/50,470/634, numerators are 680,470

Denominators are 50,634

The GCF of 680,470 is 10 .

LCM of 50,634 is 15850.

The greatest common factor of 680/50,470/634 = [GCF of 680,470]/[LCM of 50,634]= 10/15850

Therefore, the GCF of 680/50,470/634 is 10/15850.

Greatest Common Factor of 680,470

To find the highest common factor of 680,470, we have to find the factors of both numbers and list the highest common factor.

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 680,470 is 10.

Lets's calculate GCF of 680,470

Greatest Common Factor (GCF) of 680,470 By Common Division

2 680, 470
5 340, 235
68, 47

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 680,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,470 By Matching Biggest Common Factor Method

Now, list down the factors of 680

:

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 680,470 . The biggest common factor number is the GCF number.
So the greatest common factor 680,470 is 10.

Lets's calculate LCM of 50,634

Lowest Common Multiple of 50,634 using Common Division

2 50, 634
25, 317

∴ So the LCM of the given numbers is 2 x 25 x 317 = 15850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/15850

Therefore, the GCF of Fractions 680/50,470/634 is 10/15850

Least Common Multiple of 50,634 with GCF Formula

Least Common Multiple of 50,634 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,634) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(50,634) x common factors =2 x 1 = 2

LCM(50,634) = ( 50 × 634 ) / 2

LCM(50,634) = 31700 / 2

LCM(50,634) = 15850


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 680/50, 470/634

1. What is the HCF of 680,470?

The HCF of 680,470 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 680/50, 470/634?

Answer: GCF of Numerators as per given numbers 680/50, 470/634 is

GCF of Numerators i.e. for 680,470 is 10

LCM of denominators i.e. for 50,634 is 15850.

Thus, GCF of Fractions is 10/15850.Finally, GCF of Fractions for 680/50, 470/634 is 10/15850.