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 536/70, 568/682

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 536/70, 568/682 i.e 8/23870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/70, 568/682.

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 536/70,568/682?

Given fractions are 536/70,568/682

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 536/70,568/682, numerators are 536,568

Denominators are 70,682

The GCF of 536,568 is 8 .

LCM of 70,682 is 23870.

The greatest common factor of 536/70,568/682 = [GCF of 536,568]/[LCM of 70,682]= 8/23870

Therefore, the GCF of 536/70,568/682 is 8/23870.

Greatest Common Factor of 536,568

To find the highest common factor of 536,568, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The HCF of 536,568 is 8.

Lets's calculate GCF of 536,568

Greatest Common Factor (GCF) of 536,568 By Common Division

2 536, 568
2 268, 284
2 134, 142
67, 71

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 536,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,568 By Matching Biggest Common Factor Method

Now, list down the factors of 536

:

1,2,4,8,67,134,268,536

Now, list down the factors of 568

:

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 536,568 . The biggest common factor number is the GCF number.
So the greatest common factor 536,568 is 8.

Lets's calculate LCM of 70,682

Lowest Common Multiple of 70,682 using Common Division

2 70, 682
35, 341

∴ So the LCM of the given numbers is 2 x 35 x 341 = 23870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/23870

Therefore, the GCF of Fractions 536/70,568/682 is 8/23870

Least Common Multiple of 70,682 with GCF Formula

Least Common Multiple of 70,682 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 70,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,682) = 2

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

GCF(70,682) x common factors =2 x 1 = 2

LCM(70,682) = ( 70 × 682 ) / 2

LCM(70,682) = 47740 / 2

LCM(70,682) = 23870


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 536/70, 568/682

1. What is the HCF of 536,568?

The HCF of 536,568 is 8

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 536/70, 568/682?

Answer: GCF of Numerators as per given numbers 536/70, 568/682 is

GCF of Numerators i.e. for 536,568 is 8

LCM of denominators i.e. for 70,682 is 23870.

Thus, GCF of Fractions is 8/23870.Finally, GCF of Fractions for 536/70, 568/682 is 8/23870.