How to Find GCF of 1496/969, 1356/1281?

GCF of 1496/969, 1356/1281

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 1496/969, 1356/1281 i.e 4/413763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1496/969, 1356/1281.

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 1496/969,1356/1281?

Given fractions are 1496/969,1356/1281

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 1496/969,1356/1281, numerators are 1496,1356

Denominators are 969,1281

The GCF of 1496,1356 is 4 .

LCM of 969,1281 is 413763.

The greatest common factor of 1496/969,1356/1281 = [GCF of 1496,1356]/[LCM of 969,1281]= 4/413763

Therefore, the GCF of 1496/969,1356/1281 is 4/413763.

Greatest Common Factor of 1496,1356

To find the highest common factor of 1496,1356, 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 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

The HCF of 1496,1356 is 4.

Lets's calculate GCF of 1496,1356

Greatest Common Factor (GCF) of 1496,1356 By Common Division

2	1496, 1356
2	748, 678
	374, 339

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1496,1356 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 1356

1,2,3,4,6,12,113,226,339,452,678,1356

Greatest Common Factor

We found the factors 1496,1356 . The biggest common factor number is the GCF number.
So the greatest common factor 1496,1356 is 4.

Lets's calculate LCM of 969,1281

Lowest Common Multiple of 969,1281 using Common Division

3	969, 1281
	323, 427

∴ So the LCM of the given numbers is 3 x 323 x 427 = 413763

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413763

Therefore, the GCF of Fractions 1496/969,1356/1281 is 4/413763

Least Common Multiple of 969,1281 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 969,1281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,1281) = 3

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

GCF(969,1281) x common factors =3 x 1 = 3

LCM(969,1281) = ( 969 × 1281 ) / 3

LCM(969,1281) = 1241289 / 3

LCM(969,1281) = 413763

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1496/969, 1356/1281

1. What is the HCF of 1496,1356?

The HCF of 1496,1356 is 4

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 1496/969, 1356/1281?

Answer: GCF of Numerators as per given numbers 1496/969, 1356/1281 is

GCF of Numerators i.e. for 1496,1356 is 4

LCM of denominators i.e. for 969,1281 is 413763.

Thus, GCF of Fractions is 4/413763.Finally, GCF of Fractions for 1496/969, 1356/1281 is 4/413763.