How to Find GCF of 1496/276, 2144/5482?

GCF of 1496/276, 2144/5482

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 1496/276, 2144/5482 i.e 8/756516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/276, 2144/5482.

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 1496/276,2144/5482?

Given fractions are 1496/276,2144/5482

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 1496/276,2144/5482, numerators are 1496,2144

Denominators are 276,5482

The GCF of 1496,2144 is 8 .

LCM of 276,5482 is 756516.

The greatest common factor of 1496/276,2144/5482 = [GCF of 1496,2144]/[LCM of 276,5482]= 8/756516

Therefore, the GCF of 1496/276,2144/5482 is 8/756516.

Greatest Common Factor of 1496,2144

To find the highest common factor of 1496,2144, we have to find the factors of both numbers and list the highest common factor.

The factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496

The factors of 2144 are 1, 2, 4, 8, 16, 32, 67, 134, 268, 536, 1072, 2144

The HCF of 1496,2144 is 8.

Lets's calculate GCF of 1496,2144

Greatest Common Factor (GCF) of 1496,2144 By Common Division

2	1496, 2144
2	748, 1072
2	374, 536
	187, 268

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1496,2144 By Matching Biggest Common Factor Method

Now, list down the factors of 1496

1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496

Now, list down the factors of 2144

1,2,4,8,16,32,67,134,268,536,1072,2144

Greatest Common Factor

We found the factors 1496,2144 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,2144 is 8.

Lets's calculate LCM of 276,5482

Lowest Common Multiple of 276,5482 using Common Division

2	276, 5482
	138, 2741

∴ So the LCM of the given numbers is 2 x 138 x 2741 = 756516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/756516

Therefore, the GCF of Fractions 1496/276,2144/5482 is 8/756516

Least Common Multiple of 276,5482 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 276,5482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,5482) = 2

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

GCF(276,5482) x common factors =2 x 1 = 2

LCM(276,5482) = ( 276 × 5482 ) / 2

LCM(276,5482) = 1513032 / 2

LCM(276,5482) = 756516

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1496/276, 2144/5482

1. What is the HCF of 1496,2144?

The HCF of 1496,2144 is 8

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 1496/276, 2144/5482?

Answer: GCF of Numerators as per given numbers 1496/276, 2144/5482 is

GCF of Numerators i.e. for 1496,2144 is 8

LCM of denominators i.e. for 276,5482 is 756516.

Thus, GCF of Fractions is 8/756516.Finally, GCF of Fractions for 1496/276, 2144/5482 is 8/756516.