How to Find GCF of 3211/676, 5062/1768?

GCF of 3211/676, 5062/1768

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 3211/676, 5062/1768 i.e 1/22984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3211/676, 5062/1768.

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 3211/676,5062/1768?

Given fractions are 3211/676,5062/1768

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 3211/676,5062/1768, numerators are 3211,5062

Denominators are 676,1768

The GCF of 3211,5062 is 1 .

LCM of 676,1768 is 22984.

The greatest common factor of 3211/676,5062/1768 = [GCF of 3211,5062]/[LCM of 676,1768]= 1/22984

Therefore, the GCF of 3211/676,5062/1768 is 1/22984.

Greatest Common Factor of 3211,5062

To find the highest common factor of 3211,5062, we have to find the factors of both numbers and list the highest common factor.

The factors of 3211 are 1, 13, 19, 169, 247, 3211

The factors of 5062 are 1, 2, 2531, 5062

The HCF of 3211,5062 is 1.

Lets's calculate GCF of 3211,5062

Greatest Common Factor (GCF) of 3211,5062 By Common Division

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

Greatest Common Factor of 3211,5062 By Matching Biggest Common Factor Method

Now, list down the factors of 3211

1,13,19,169,247,3211

Now, list down the factors of 5062

1,2,2531,5062

Greatest Common Factor

We found the factors 3211,5062 . The biggest common factor number is the GCF number.
So the greatest common factor 3211,5062 is 1.

Lets's calculate LCM of 676,1768

Lowest Common Multiple of 676,1768 using Common Division

2	676, 1768
2	338, 884
13	169, 442
	13, 34

∴ So the LCM of the given numbers is 2 x 2 x 13 x 13 x 34 = 22984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22984

Therefore, the GCF of Fractions 3211/676,5062/1768 is 1/22984

Least Common Multiple of 676,1768 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 676,1768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,1768) = 52

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

GCF(676,1768) x common factors =52 x 1 = 52

LCM(676,1768) = ( 676 × 1768 ) / 52

LCM(676,1768) = 1195168 / 52

LCM(676,1768) = 22984

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FAQs on GCF of Fractions of 3211/676, 5062/1768

1. What is the HCF of 3211,5062?

The HCF of 3211,5062 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 3211/676, 5062/1768?

Answer: GCF of Numerators as per given numbers 3211/676, 5062/1768 is

GCF of Numerators i.e. for 3211,5062 is 1

LCM of denominators i.e. for 676,1768 is 22984.

Thus, GCF of Fractions is 1/22984.Finally, GCF of Fractions for 3211/676, 5062/1768 is 1/22984.