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GCF of 4474/988, 9161/690

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 4474/988, 9161/690 i.e 1/340860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4474/988, 9161/690.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4474/988,9161/690?

Given fractions are 4474/988,9161/690

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 4474/988,9161/690, numerators are 4474,9161

Denominators are 988,690

The GCF of 4474,9161 is 1 .

LCM of 988,690 is 340860.

The greatest common factor of 4474/988,9161/690 = [GCF of 4474,9161]/[LCM of 988,690]= 1/340860

Therefore, the GCF of 4474/988,9161/690 is 1/340860.

Greatest Common Factor of 4474,9161

To find the highest common factor of 4474,9161, we have to find the factors of both numbers and list the highest common factor.

The factors of 4474 are 1, 2, 2237, 4474

The factors of 9161 are 1, 9161

The HCF of 4474,9161 is 1.

Lets's calculate GCF of 4474,9161

Greatest Common Factor (GCF) of 4474,9161 By Common Division

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

Greatest Common Factor of 4474,9161 By Matching Biggest Common Factor Method

Greatest Common Factor of 4474,9161 By Matching Biggest Common Factor Method

Now, list down the factors of 4474

:

1,2,2237,4474

Now, list down the factors of 9161

:

1,9161

Greatest Common Factor

We found the factors 4474,9161 . The biggest common factor number is the GCF number.
So the greatest common factor 4474,9161 is 1.

Lets's calculate LCM of 988,690

Lowest Common Multiple of 988,690 using Common Division

2 988, 690
494, 345

∴ So the LCM of the given numbers is 2 x 494 x 345 = 340860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340860

Therefore, the GCF of Fractions 4474/988,9161/690 is 1/340860

Least Common Multiple of 988,690 with GCF Formula

Least Common Multiple of 988,690 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 988,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,690) = 2

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

GCF(988,690) x common factors =2 x 1 = 2

LCM(988,690) = ( 988 × 690 ) / 2

LCM(988,690) = 681720 / 2

LCM(988,690) = 340860


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FAQs on GCF of Fractions of 4474/988, 9161/690

1. What is the HCF of 4474,9161?

The HCF of 4474,9161 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 4474/988, 9161/690?

Answer: GCF of Numerators as per given numbers 4474/988, 9161/690 is

GCF of Numerators i.e. for 4474,9161 is 1

LCM of denominators i.e. for 988,690 is 340860.

Thus, GCF of Fractions is 1/340860.Finally, GCF of Fractions for 4474/988, 9161/690 is 1/340860.