How to Find GCF of 7534/377, 2536/1469?

GCF of 7534/377, 2536/1469

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 7534/377, 2536/1469 i.e 2/42601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7534/377, 2536/1469.

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 7534/377,2536/1469?

Given fractions are 7534/377,2536/1469

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 7534/377,2536/1469, numerators are 7534,2536

Denominators are 377,1469

The GCF of 7534,2536 is 2 .

LCM of 377,1469 is 42601.

The greatest common factor of 7534/377,2536/1469 = [GCF of 7534,2536]/[LCM of 377,1469]= 2/42601

Therefore, the GCF of 7534/377,2536/1469 is 2/42601.

Greatest Common Factor of 7534,2536

To find the highest common factor of 7534,2536, we have to find the factors of both numbers and list the highest common factor.

The factors of 7534 are 1, 2, 3767, 7534

The factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536

The HCF of 7534,2536 is 2.

Lets's calculate GCF of 7534,2536

Greatest Common Factor (GCF) of 7534,2536 By Common Division

2	7534, 2536
	3767, 1268

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7534,2536 By Matching Biggest Common Factor Method

Now, list down the factors of 7534

1,2,3767,7534

Now, list down the factors of 2536

1,2,4,8,317,634,1268,2536

Greatest Common Factor

We found the factors 7534,2536 . The biggest common factor number is the GCF number.
So the greatest common factor 7534,2536 is 2.

Lets's calculate LCM of 377,1469

Lowest Common Multiple of 377,1469 using Common Division

13	377, 1469
	29, 113

∴ So the LCM of the given numbers is 13 x 29 x 113 = 42601

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42601

Therefore, the GCF of Fractions 7534/377,2536/1469 is 2/42601

Least Common Multiple of 377,1469 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 377,1469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,1469) = 13

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

GCF(377,1469) x common factors =13 x 1 = 13

LCM(377,1469) = ( 377 × 1469 ) / 13

LCM(377,1469) = 553813 / 13

LCM(377,1469) = 42601

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FAQs on GCF of Fractions of 7534/377, 2536/1469

1. What is the HCF of 7534,2536?

The HCF of 7534,2536 is 2

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 7534/377, 2536/1469?

Answer: GCF of Numerators as per given numbers 7534/377, 2536/1469 is

GCF of Numerators i.e. for 7534,2536 is 2

LCM of denominators i.e. for 377,1469 is 42601.

Thus, GCF of Fractions is 2/42601.Finally, GCF of Fractions for 7534/377, 2536/1469 is 2/42601.