How to Find GCF of 749/272, 4247/548?

GCF of 749/272, 4247/548

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 749/272, 4247/548 i.e 1/37264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/272, 4247/548.

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 749/272,4247/548?

Given fractions are 749/272,4247/548

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 749/272,4247/548, numerators are 749,4247

Denominators are 272,548

The GCF of 749,4247 is 1 .

LCM of 272,548 is 37264.

The greatest common factor of 749/272,4247/548 = [GCF of 749,4247]/[LCM of 272,548]= 1/37264

Therefore, the GCF of 749/272,4247/548 is 1/37264.

Greatest Common Factor of 749,4247

To find the highest common factor of 749,4247, we have to find the factors of both numbers and list the highest common factor.

The factors of 749 are 1, 7, 107, 749

The factors of 4247 are 1, 31, 137, 4247

The HCF of 749,4247 is 1.

Lets's calculate GCF of 749,4247

Greatest Common Factor (GCF) of 749,4247 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 749,4247 By Matching Biggest Common Factor Method

Now, list down the factors of 749

1,7,107,749

Now, list down the factors of 4247

1,31,137,4247

Greatest Common Factor

We found the factors 749,4247 . The biggest common factor number is the GCF number.
So the greatest common factor 749,4247 is 1.

Lets's calculate LCM of 272,548

Lowest Common Multiple of 272,548 using Common Division

2	272, 548
2	136, 274
	68, 137

∴ So the LCM of the given numbers is 2 x 2 x 68 x 137 = 37264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37264

Therefore, the GCF of Fractions 749/272,4247/548 is 1/37264

Least Common Multiple of 272,548 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 272,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,548) = 4

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

GCF(272,548) x common factors =4 x 1 = 4

LCM(272,548) = ( 272 × 548 ) / 4

LCM(272,548) = 149056 / 4

LCM(272,548) = 37264

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FAQs on GCF of Fractions of 749/272, 4247/548

1. What is the HCF of 749,4247?

The HCF of 749,4247 is 1

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 749/272, 4247/548?

Answer: GCF of Numerators as per given numbers 749/272, 4247/548 is

GCF of Numerators i.e. for 749,4247 is 1

LCM of denominators i.e. for 272,548 is 37264.

Thus, GCF of Fractions is 1/37264.Finally, GCF of Fractions for 749/272, 4247/548 is 1/37264.