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 350/64, 566/560

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 350/64, 566/560 i.e 2/2240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/64, 566/560.

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 350/64,566/560?

Given fractions are 350/64,566/560

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 350/64,566/560, numerators are 350,566

Denominators are 64,560

The GCF of 350,566 is 2 .

LCM of 64,560 is 2240.

The greatest common factor of 350/64,566/560 = [GCF of 350,566]/[LCM of 64,560]= 2/2240

Therefore, the GCF of 350/64,566/560 is 2/2240.

Greatest Common Factor of 350,566

To find the highest common factor of 350,566, we have to find the factors of both numbers and list the highest common factor.

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 566 are 1, 2, 283, 566

The HCF of 350,566 is 2.

Lets's calculate GCF of 350,566

Greatest Common Factor (GCF) of 350,566 By Common Division

2 350, 566
175, 283

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 350,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,566 By Matching Biggest Common Factor Method

Now, list down the factors of 350

:

1,2,5,7,10,14,25,35,50,70,175,350

Now, list down the factors of 566

:

1,2,283,566

Greatest Common Factor

We found the factors 350,566 . The biggest common factor number is the GCF number.
So the greatest common factor 350,566 is 2.

Lets's calculate LCM of 64,560

Lowest Common Multiple of 64,560 using Common Division

2 64, 560
2 32, 280
2 16, 140
2 8, 70
4, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 35 = 2240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2240

Therefore, the GCF of Fractions 350/64,566/560 is 2/2240

Least Common Multiple of 64,560 with GCF Formula

Least Common Multiple of 64,560 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 64,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,560) = 16

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

GCF(64,560) x common factors =16 x 1 = 16

LCM(64,560) = ( 64 × 560 ) / 16

LCM(64,560) = 35840 / 16

LCM(64,560) = 2240


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 350/64, 566/560

1. What is the HCF of 350,566?

The HCF of 350,566 is 2

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 350/64, 566/560?

Answer: GCF of Numerators as per given numbers 350/64, 566/560 is

GCF of Numerators i.e. for 350,566 is 2

LCM of denominators i.e. for 64,560 is 2240.

Thus, GCF of Fractions is 2/2240.Finally, GCF of Fractions for 350/64, 566/560 is 2/2240.