How to Find GCF of 7657/296, 6185/1069?

GCF of 7657/296, 6185/1069

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 7657/296, 6185/1069 i.e 1/316424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7657/296, 6185/1069.

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 7657/296,6185/1069?

Given fractions are 7657/296,6185/1069

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 7657/296,6185/1069, numerators are 7657,6185

Denominators are 296,1069

The GCF of 7657,6185 is 1 .

LCM of 296,1069 is 316424.

The greatest common factor of 7657/296,6185/1069 = [GCF of 7657,6185]/[LCM of 296,1069]= 1/316424

Therefore, the GCF of 7657/296,6185/1069 is 1/316424.

Greatest Common Factor of 7657,6185

To find the highest common factor of 7657,6185, we have to find the factors of both numbers and list the highest common factor.

The factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657

The factors of 6185 are 1, 5, 1237, 6185

The HCF of 7657,6185 is 1.

Lets's calculate GCF of 7657,6185

Greatest Common Factor (GCF) of 7657,6185 By Common Division

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

Greatest Common Factor of 7657,6185 By Matching Biggest Common Factor Method

Now, list down the factors of 7657

1,13,19,31,247,403,589,7657

Now, list down the factors of 6185

1,5,1237,6185

Greatest Common Factor

We found the factors 7657,6185 . The biggest common factor number is the GCF number.
So the greatest common factor 7657,6185 is 1.

Lets's calculate LCM of 296,1069

Lowest Common Multiple of 296,1069 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 316424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316424

Therefore, the GCF of Fractions 7657/296,6185/1069 is 1/316424

Least Common Multiple of 296,1069 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 296,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,1069) = 1

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

GCF(296,1069) x common factors =1 x 1 = 1

LCM(296,1069) = ( 296 × 1069 ) / 1

LCM(296,1069) = 316424 / 1

LCM(296,1069) = 316424

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FAQs on GCF of Fractions of 7657/296, 6185/1069

1. What is the HCF of 7657,6185?

The HCF of 7657,6185 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 7657/296, 6185/1069?

Answer: GCF of Numerators as per given numbers 7657/296, 6185/1069 is

GCF of Numerators i.e. for 7657,6185 is 1

LCM of denominators i.e. for 296,1069 is 316424.

Thus, GCF of Fractions is 1/316424.Finally, GCF of Fractions for 7657/296, 6185/1069 is 1/316424.