How to Find GCF of 7295/656, 6536/6636?

GCF of 7295/656, 6536/6636

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 7295/656, 6536/6636 i.e 1/1088304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7295/656, 6536/6636.

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 7295/656,6536/6636?

Given fractions are 7295/656,6536/6636

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 7295/656,6536/6636, numerators are 7295,6536

Denominators are 656,6636

The GCF of 7295,6536 is 1 .

LCM of 656,6636 is 1088304.

The greatest common factor of 7295/656,6536/6636 = [GCF of 7295,6536]/[LCM of 656,6636]= 1/1088304

Therefore, the GCF of 7295/656,6536/6636 is 1/1088304.

Greatest Common Factor of 7295,6536

To find the highest common factor of 7295,6536, we have to find the factors of both numbers and list the highest common factor.

The factors of 7295 are 1, 5, 1459, 7295

The factors of 6536 are 1, 2, 4, 8, 19, 38, 43, 76, 86, 152, 172, 344, 817, 1634, 3268, 6536

The HCF of 7295,6536 is 1.

Lets's calculate GCF of 7295,6536

Greatest Common Factor (GCF) of 7295,6536 By Common Division

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

Greatest Common Factor of 7295,6536 By Matching Biggest Common Factor Method

Now, list down the factors of 7295

1,5,1459,7295

Now, list down the factors of 6536

1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536

Greatest Common Factor

We found the factors 7295,6536 . The biggest common factor number is the GCF number.
So the greatest common factor 7295,6536 is 1.

Lets's calculate LCM of 656,6636

Lowest Common Multiple of 656,6636 using Common Division

2	656, 6636
2	328, 3318
	164, 1659

∴ So the LCM of the given numbers is 2 x 2 x 164 x 1659 = 1088304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088304

Therefore, the GCF of Fractions 7295/656,6536/6636 is 1/1088304

Least Common Multiple of 656,6636 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 656,6636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,6636) = 4

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

GCF(656,6636) x common factors =4 x 1 = 4

LCM(656,6636) = ( 656 × 6636 ) / 4

LCM(656,6636) = 4353216 / 4

LCM(656,6636) = 1088304

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FAQs on GCF of Fractions of 7295/656, 6536/6636

1. What is the HCF of 7295,6536?

The HCF of 7295,6536 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 7295/656, 6536/6636?

Answer: GCF of Numerators as per given numbers 7295/656, 6536/6636 is

GCF of Numerators i.e. for 7295,6536 is 1

LCM of denominators i.e. for 656,6636 is 1088304.

Thus, GCF of Fractions is 1/1088304.Finally, GCF of Fractions for 7295/656, 6536/6636 is 1/1088304.