How to Find GCF of 541/39, 962/416?

GCF of 541/39, 962/416

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 541/39, 962/416 i.e 1/1248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/39, 962/416.

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 541/39,962/416?

Given fractions are 541/39,962/416

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 541/39,962/416, numerators are 541,962

Denominators are 39,416

The GCF of 541,962 is 1 .

LCM of 39,416 is 1248.

The greatest common factor of 541/39,962/416 = [GCF of 541,962]/[LCM of 39,416]= 1/1248

Therefore, the GCF of 541/39,962/416 is 1/1248.

Greatest Common Factor of 541,962

To find the highest common factor of 541,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 541 are 1, 541

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 541,962 is 1.

Lets's calculate GCF of 541,962

Greatest Common Factor (GCF) of 541,962 By Common Division

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

Greatest Common Factor of 541,962 By Matching Biggest Common Factor Method

Now, list down the factors of 541

1,541

Now, list down the factors of 962

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 541,962 . The biggest common factor number is the GCF number.
So the greatest common factor 541,962 is 1.

Lets's calculate LCM of 39,416

Lowest Common Multiple of 39,416 using Common Division

13	39, 416
	3, 32

∴ So the LCM of the given numbers is 13 x 3 x 32 = 1248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248

Therefore, the GCF of Fractions 541/39,962/416 is 1/1248

Least Common Multiple of 39,416 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 39,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,416) = 13

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

GCF(39,416) x common factors =13 x 1 = 13

LCM(39,416) = ( 39 × 416 ) / 13

LCM(39,416) = 16224 / 13

LCM(39,416) = 1248

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FAQs on GCF of Fractions of 541/39, 962/416

1. What is the HCF of 541,962?

The HCF of 541,962 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 541/39, 962/416?

Answer: GCF of Numerators as per given numbers 541/39, 962/416 is

GCF of Numerators i.e. for 541,962 is 1

LCM of denominators i.e. for 39,416 is 1248.

Thus, GCF of Fractions is 1/1248.Finally, GCF of Fractions for 541/39, 962/416 is 1/1248.