How to Find GCF of 9437/749, 6158/7615?

GCF of 9437/749, 6158/7615

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 9437/749, 6158/7615 i.e 1/5703635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9437/749, 6158/7615.

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 9437/749,6158/7615?

Given fractions are 9437/749,6158/7615

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 9437/749,6158/7615, numerators are 9437,6158

Denominators are 749,7615

The GCF of 9437,6158 is 1 .

LCM of 749,7615 is 5703635.

The greatest common factor of 9437/749,6158/7615 = [GCF of 9437,6158]/[LCM of 749,7615]= 1/5703635

Therefore, the GCF of 9437/749,6158/7615 is 1/5703635.

Greatest Common Factor of 9437,6158

To find the highest common factor of 9437,6158, we have to find the factors of both numbers and list the highest common factor.

The factors of 9437 are 1, 9437

The factors of 6158 are 1, 2, 3079, 6158

The HCF of 9437,6158 is 1.

Lets's calculate GCF of 9437,6158

Greatest Common Factor (GCF) of 9437,6158 By Common Division

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

Greatest Common Factor of 9437,6158 By Matching Biggest Common Factor Method

Now, list down the factors of 9437

1,9437

Now, list down the factors of 6158

1,2,3079,6158

Greatest Common Factor

We found the factors 9437,6158 . The biggest common factor number is the GCF number.
So the greatest common factor 9437,6158 is 1.

Lets's calculate LCM of 749,7615

Lowest Common Multiple of 749,7615 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5703635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5703635

Therefore, the GCF of Fractions 9437/749,6158/7615 is 1/5703635

Least Common Multiple of 749,7615 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 749,7615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,7615) = 1

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

GCF(749,7615) x common factors =1 x 1 = 1

LCM(749,7615) = ( 749 × 7615 ) / 1

LCM(749,7615) = 5703635 / 1

LCM(749,7615) = 5703635

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FAQs on GCF of Fractions of 9437/749, 6158/7615

1. What is the HCF of 9437,6158?

The HCF of 9437,6158 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 9437/749, 6158/7615?

Answer: GCF of Numerators as per given numbers 9437/749, 6158/7615 is

GCF of Numerators i.e. for 9437,6158 is 1

LCM of denominators i.e. for 749,7615 is 5703635.

Thus, GCF of Fractions is 1/5703635.Finally, GCF of Fractions for 9437/749, 6158/7615 is 1/5703635.