How to Find GCF of 2748/497, 3156/6389?

GCF of 2748/497, 3156/6389

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 2748/497, 3156/6389 i.e 12/3175333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2748/497, 3156/6389.

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 2748/497,3156/6389?

Given fractions are 2748/497,3156/6389

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 2748/497,3156/6389, numerators are 2748,3156

Denominators are 497,6389

The GCF of 2748,3156 is 12 .

LCM of 497,6389 is 3175333.

The greatest common factor of 2748/497,3156/6389 = [GCF of 2748,3156]/[LCM of 497,6389]= 12/3175333

Therefore, the GCF of 2748/497,3156/6389 is 12/3175333.

Greatest Common Factor of 2748,3156

To find the highest common factor of 2748,3156, we have to find the factors of both numbers and list the highest common factor.

The factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748

The factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156

The HCF of 2748,3156 is 12.

Lets's calculate GCF of 2748,3156

Greatest Common Factor (GCF) of 2748,3156 By Common Division

2	2748, 3156
2	1374, 1578
3	687, 789
	229, 263

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2748,3156 By Matching Biggest Common Factor Method

Now, list down the factors of 2748

1,2,3,4,6,12,229,458,687,916,1374,2748

Now, list down the factors of 3156

1,2,3,4,6,12,263,526,789,1052,1578,3156

Greatest Common Factor

We found the factors 2748,3156 . The biggest common factor number is the GCF number.
So the greatest common factor 2748,3156 is 12.

Lets's calculate LCM of 497,6389

Lowest Common Multiple of 497,6389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3175333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3175333

Therefore, the GCF of Fractions 2748/497,3156/6389 is 12/3175333

Least Common Multiple of 497,6389 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 497,6389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,6389) = 1

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

GCF(497,6389) x common factors =1 x 1 = 1

LCM(497,6389) = ( 497 × 6389 ) / 1

LCM(497,6389) = 3175333 / 1

LCM(497,6389) = 3175333

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FAQs on GCF of Fractions of 2748/497, 3156/6389

1. What is the HCF of 2748,3156?

The HCF of 2748,3156 is 12

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 2748/497, 3156/6389?

Answer: GCF of Numerators as per given numbers 2748/497, 3156/6389 is

GCF of Numerators i.e. for 2748,3156 is 12

LCM of denominators i.e. for 497,6389 is 3175333.

Thus, GCF of Fractions is 12/3175333.Finally, GCF of Fractions for 2748/497, 3156/6389 is 12/3175333.