How to Find GCF of 42/547, 1526/2499?

GCF of 42/547, 1526/2499

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 42/547, 1526/2499 i.e 14/1366953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/547, 1526/2499.

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 42/547,1526/2499?

Given fractions are 42/547,1526/2499

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 42/547,1526/2499, numerators are 42,1526

Denominators are 547,2499

The GCF of 42,1526 is 14 .

LCM of 547,2499 is 1366953.

The greatest common factor of 42/547,1526/2499 = [GCF of 42,1526]/[LCM of 547,2499]= 14/1366953

Therefore, the GCF of 42/547,1526/2499 is 14/1366953.

Greatest Common Factor of 42,1526

To find the highest common factor of 42,1526, we have to find the factors of both numbers and list the highest common factor.

The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526

The HCF of 42,1526 is 14.

Lets's calculate GCF of 42,1526

Greatest Common Factor (GCF) of 42,1526 By Common Division

2	42, 1526
7	21, 763
	3, 109

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 42,1526 By Matching Biggest Common Factor Method

Now, list down the factors of 42

1,2,3,6,7,14,21,42

Now, list down the factors of 1526

1,2,7,14,109,218,763,1526

Greatest Common Factor

We found the factors 42,1526 . The biggest common factor number is the GCF number.
So the greatest common factor 42,1526 is 14.

Lets's calculate LCM of 547,2499

Lowest Common Multiple of 547,2499 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1366953

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1366953

Therefore, the GCF of Fractions 42/547,1526/2499 is 14/1366953

Least Common Multiple of 547,2499 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 547,2499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,2499) = 1

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

GCF(547,2499) x common factors =1 x 1 = 1

LCM(547,2499) = ( 547 × 2499 ) / 1

LCM(547,2499) = 1366953 / 1

LCM(547,2499) = 1366953

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FAQs on GCF of Fractions of 42/547, 1526/2499

1. What is the HCF of 42,1526?

The HCF of 42,1526 is 14

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 42/547, 1526/2499?

Answer: GCF of Numerators as per given numbers 42/547, 1526/2499 is

GCF of Numerators i.e. for 42,1526 is 14

LCM of denominators i.e. for 547,2499 is 1366953.

Thus, GCF of Fractions is 14/1366953.Finally, GCF of Fractions for 42/547, 1526/2499 is 14/1366953.