How to Find GCF of 5633/158, 2508/5279?

GCF of 5633/158, 2508/5279

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 5633/158, 2508/5279 i.e 1/834082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5633/158, 2508/5279.

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 5633/158,2508/5279?

Given fractions are 5633/158,2508/5279

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 5633/158,2508/5279, numerators are 5633,2508

Denominators are 158,5279

The GCF of 5633,2508 is 1 .

LCM of 158,5279 is 834082.

The greatest common factor of 5633/158,2508/5279 = [GCF of 5633,2508]/[LCM of 158,5279]= 1/834082

Therefore, the GCF of 5633/158,2508/5279 is 1/834082.

Greatest Common Factor of 5633,2508

To find the highest common factor of 5633,2508, we have to find the factors of both numbers and list the highest common factor.

The factors of 5633 are 1, 43, 131, 5633

The factors of 2508 are 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508

The HCF of 5633,2508 is 1.

Lets's calculate GCF of 5633,2508

Greatest Common Factor (GCF) of 5633,2508 By Common Division

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

Greatest Common Factor of 5633,2508 By Matching Biggest Common Factor Method

Now, list down the factors of 5633

1,43,131,5633

Now, list down the factors of 2508

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors 5633,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 5633,2508 is 1.

Lets's calculate LCM of 158,5279

Lowest Common Multiple of 158,5279 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 834082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/834082

Therefore, the GCF of Fractions 5633/158,2508/5279 is 1/834082

Least Common Multiple of 158,5279 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 158,5279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,5279) = 1

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

GCF(158,5279) x common factors =1 x 1 = 1

LCM(158,5279) = ( 158 × 5279 ) / 1

LCM(158,5279) = 834082 / 1

LCM(158,5279) = 834082

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FAQs on GCF of Fractions of 5633/158, 2508/5279

1. What is the HCF of 5633,2508?

The HCF of 5633,2508 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 5633/158, 2508/5279?

Answer: GCF of Numerators as per given numbers 5633/158, 2508/5279 is

GCF of Numerators i.e. for 5633,2508 is 1

LCM of denominators i.e. for 158,5279 is 834082.

Thus, GCF of Fractions is 1/834082.Finally, GCF of Fractions for 5633/158, 2508/5279 is 1/834082.