How to Find GCF of 7334/137, 1577/7508?

GCF of 7334/137, 1577/7508

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 7334/137, 1577/7508 i.e 19/1028596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7334/137, 1577/7508.

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 7334/137,1577/7508?

Given fractions are 7334/137,1577/7508

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 7334/137,1577/7508, numerators are 7334,1577

Denominators are 137,7508

The GCF of 7334,1577 is 19 .

LCM of 137,7508 is 1028596.

The greatest common factor of 7334/137,1577/7508 = [GCF of 7334,1577]/[LCM of 137,7508]= 19/1028596

Therefore, the GCF of 7334/137,1577/7508 is 19/1028596.

Greatest Common Factor of 7334,1577

To find the highest common factor of 7334,1577, we have to find the factors of both numbers and list the highest common factor.

The factors of 7334 are 1, 2, 19, 38, 193, 386, 3667, 7334

The factors of 1577 are 1, 19, 83, 1577

The HCF of 7334,1577 is 19.

Lets's calculate GCF of 7334,1577

Greatest Common Factor (GCF) of 7334,1577 By Common Division

19	7334, 1577
	386, 83

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7334,1577 By Matching Biggest Common Factor Method

Now, list down the factors of 7334

1,2,19,38,193,386,3667,7334

Now, list down the factors of 1577

1,19,83,1577

Greatest Common Factor

We found the factors 7334,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 7334,1577 is 19.

Lets's calculate LCM of 137,7508

Lowest Common Multiple of 137,7508 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1028596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1028596

Therefore, the GCF of Fractions 7334/137,1577/7508 is 19/1028596

Least Common Multiple of 137,7508 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 137,7508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,7508) = 1

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

GCF(137,7508) x common factors =1 x 1 = 1

LCM(137,7508) = ( 137 × 7508 ) / 1

LCM(137,7508) = 1028596 / 1

LCM(137,7508) = 1028596

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FAQs on GCF of Fractions of 7334/137, 1577/7508

1. What is the HCF of 7334,1577?

The HCF of 7334,1577 is 19

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 7334/137, 1577/7508?

Answer: GCF of Numerators as per given numbers 7334/137, 1577/7508 is

GCF of Numerators i.e. for 7334,1577 is 19

LCM of denominators i.e. for 137,7508 is 1028596.

Thus, GCF of Fractions is 19/1028596.Finally, GCF of Fractions for 7334/137, 1577/7508 is 19/1028596.