How to Find GCF of 7675/796, 7568/3608?

GCF of 7675/796, 7568/3608

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 7675/796, 7568/3608 i.e 1/717992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/796, 7568/3608.

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 7675/796,7568/3608?

Given fractions are 7675/796,7568/3608

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 7675/796,7568/3608, numerators are 7675,7568

Denominators are 796,3608

The GCF of 7675,7568 is 1 .

LCM of 796,3608 is 717992.

The greatest common factor of 7675/796,7568/3608 = [GCF of 7675,7568]/[LCM of 796,3608]= 1/717992

Therefore, the GCF of 7675/796,7568/3608 is 1/717992.

Greatest Common Factor of 7675,7568

To find the highest common factor of 7675,7568, we have to find the factors of both numbers and list the highest common factor.

The factors of 7675 are 1, 5, 25, 307, 1535, 7675

The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568

The HCF of 7675,7568 is 1.

Lets's calculate GCF of 7675,7568

Greatest Common Factor (GCF) of 7675,7568 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7675,7568 By Matching Biggest Common Factor Method

Now, list down the factors of 7675

1,5,25,307,1535,7675

Now, list down the factors of 7568

1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568

Greatest Common Factor

We found the factors 7675,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,7568 is 1.

Lets's calculate LCM of 796,3608

Lowest Common Multiple of 796,3608 using Common Division

2	796, 3608
2	398, 1804
	199, 902

∴ So the LCM of the given numbers is 2 x 2 x 199 x 902 = 717992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717992

Therefore, the GCF of Fractions 7675/796,7568/3608 is 1/717992

Least Common Multiple of 796,3608 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 796,3608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,3608) = 4

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

GCF(796,3608) x common factors =4 x 1 = 4

LCM(796,3608) = ( 796 × 3608 ) / 4

LCM(796,3608) = 2871968 / 4

LCM(796,3608) = 717992

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FAQs on GCF of Fractions of 7675/796, 7568/3608

1. What is the HCF of 7675,7568?

The HCF of 7675,7568 is 1

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 7675/796, 7568/3608?

Answer: GCF of Numerators as per given numbers 7675/796, 7568/3608 is

GCF of Numerators i.e. for 7675,7568 is 1

LCM of denominators i.e. for 796,3608 is 717992.

Thus, GCF of Fractions is 1/717992.Finally, GCF of Fractions for 7675/796, 7568/3608 is 1/717992.