How to Find GCF of 2748/311, 7498/8265?

GCF of 2748/311, 7498/8265

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 2748/311, 7498/8265 i.e 2/2570415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2748/311, 7498/8265.

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 2748/311,7498/8265?

Given fractions are 2748/311,7498/8265

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 2748/311,7498/8265, numerators are 2748,7498

Denominators are 311,8265

The GCF of 2748,7498 is 2 .

LCM of 311,8265 is 2570415.

The greatest common factor of 2748/311,7498/8265 = [GCF of 2748,7498]/[LCM of 311,8265]= 2/2570415

Therefore, the GCF of 2748/311,7498/8265 is 2/2570415.

Greatest Common Factor of 2748,7498

To find the highest common factor of 2748,7498, 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 7498 are 1, 2, 23, 46, 163, 326, 3749, 7498

The HCF of 2748,7498 is 2.

Lets's calculate GCF of 2748,7498

Greatest Common Factor (GCF) of 2748,7498 By Common Division

2	2748, 7498
	1374, 3749

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

Greatest Common Factor of 2748,7498 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 7498

1,2,23,46,163,326,3749,7498

Greatest Common Factor

We found the factors 2748,7498 . The biggest common factor number is the GCF number.
So the greatest common factor 2748,7498 is 2.

Lets's calculate LCM of 311,8265

Lowest Common Multiple of 311,8265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2570415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2570415

Therefore, the GCF of Fractions 2748/311,7498/8265 is 2/2570415

Least Common Multiple of 311,8265 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 311,8265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,8265) = 1

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

GCF(311,8265) x common factors =1 x 1 = 1

LCM(311,8265) = ( 311 × 8265 ) / 1

LCM(311,8265) = 2570415 / 1

LCM(311,8265) = 2570415

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FAQs on GCF of Fractions of 2748/311, 7498/8265

1. What is the HCF of 2748,7498?

The HCF of 2748,7498 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 2748/311, 7498/8265?

Answer: GCF of Numerators as per given numbers 2748/311, 7498/8265 is

GCF of Numerators i.e. for 2748,7498 is 2

LCM of denominators i.e. for 311,8265 is 2570415.

Thus, GCF of Fractions is 2/2570415.Finally, GCF of Fractions for 2748/311, 7498/8265 is 2/2570415.