How to Find GCF of 704/931, 568/104?

GCF of 704/931, 568/104

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 704/931, 568/104 i.e 8/96824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/931, 568/104.

Enter two or more fractions separated by "commas"

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

What is the GCF of 704/931,568/104?

Given fractions are 704/931,568/104

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 704/931,568/104, numerators are 704,568

Denominators are 931,104

The GCF of 704,568 is 8 .

LCM of 931,104 is 96824.

The greatest common factor of 704/931,568/104 = [GCF of 704,568]/[LCM of 931,104]= 8/96824

Therefore, the GCF of 704/931,568/104 is 8/96824.

Greatest Common Factor of 704,568

To find the highest common factor of 704,568, we have to find the factors of both numbers and list the highest common factor.

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

The HCF of 704,568 is 8.

Lets's calculate GCF of 704,568

Greatest Common Factor (GCF) of 704,568 By Common Division

2	704, 568
2	352, 284
2	176, 142
	88, 71

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

Greatest Common Factor of 704,568 By Matching Biggest Common Factor Method

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Now, list down the factors of 568

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

Greatest Common Factor

We found the factors 704,568 . The biggest common factor number is the GCF number.
So the greatest common factor 704,568 is 8.

Lets's calculate LCM of 931,104

Lowest Common Multiple of 931,104 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/96824

Therefore, the GCF of Fractions 704/931,568/104 is 8/96824

Least Common Multiple of 931,104 with GCF Formula

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

We need to calculate greatest common factor of 931,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,104) = 1

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

GCF(931,104) x common factors =1 x 1 = 1

LCM(931,104) = ( 931 × 104 ) / 1

LCM(931,104) = 96824 / 1

LCM(931,104) = 96824

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FAQs on GCF of Fractions of 704/931, 568/104

1. What is the HCF of 704,568?

The HCF of 704,568 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 704/931, 568/104?

Answer: GCF of Numerators as per given numbers 704/931, 568/104 is

GCF of Numerators i.e. for 704,568 is 8

LCM of denominators i.e. for 931,104 is 96824.

Thus, GCF of Fractions is 8/96824.Finally, GCF of Fractions for 704/931, 568/104 is 8/96824.