How to Find GCF of 5532/244, 9898/921?

GCF of 5532/244, 9898/921

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 5532/244, 9898/921 i.e 2/224724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5532/244, 9898/921.

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 5532/244,9898/921?

Given fractions are 5532/244,9898/921

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 5532/244,9898/921, numerators are 5532,9898

Denominators are 244,921

The GCF of 5532,9898 is 2 .

LCM of 244,921 is 224724.

The greatest common factor of 5532/244,9898/921 = [GCF of 5532,9898]/[LCM of 244,921]= 2/224724

Therefore, the GCF of 5532/244,9898/921 is 2/224724.

Greatest Common Factor of 5532,9898

To find the highest common factor of 5532,9898, we have to find the factors of both numbers and list the highest common factor.

The factors of 5532 are 1, 2, 3, 4, 6, 12, 461, 922, 1383, 1844, 2766, 5532

The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

The HCF of 5532,9898 is 2.

Lets's calculate GCF of 5532,9898

Greatest Common Factor (GCF) of 5532,9898 By Common Division

2	5532, 9898
	2766, 4949

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

Greatest Common Factor of 5532,9898 By Matching Biggest Common Factor Method

Now, list down the factors of 5532

1,2,3,4,6,12,461,922,1383,1844,2766,5532

Now, list down the factors of 9898

1,2,7,14,49,98,101,202,707,1414,4949,9898

Greatest Common Factor

We found the factors 5532,9898 . The biggest common factor number is the GCF number.
So the greatest common factor 5532,9898 is 2.

Lets's calculate LCM of 244,921

Lowest Common Multiple of 244,921 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 224724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224724

Therefore, the GCF of Fractions 5532/244,9898/921 is 2/224724

Least Common Multiple of 244,921 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 244,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,921) = 1

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

GCF(244,921) x common factors =1 x 1 = 1

LCM(244,921) = ( 244 × 921 ) / 1

LCM(244,921) = 224724 / 1

LCM(244,921) = 224724

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FAQs on GCF of Fractions of 5532/244, 9898/921

1. What is the HCF of 5532,9898?

The HCF of 5532,9898 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 5532/244, 9898/921?

Answer: GCF of Numerators as per given numbers 5532/244, 9898/921 is

GCF of Numerators i.e. for 5532,9898 is 2

LCM of denominators i.e. for 244,921 is 224724.

Thus, GCF of Fractions is 2/224724.Finally, GCF of Fractions for 5532/244, 9898/921 is 2/224724.