How to Find GCF of 6137/989, 9233/714?

GCF of 6137/989, 9233/714

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 6137/989, 9233/714 i.e 1/706146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6137/989, 9233/714.

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 6137/989,9233/714?

Given fractions are 6137/989,9233/714

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 6137/989,9233/714, numerators are 6137,9233

Denominators are 989,714

The GCF of 6137,9233 is 1 .

LCM of 989,714 is 706146.

The greatest common factor of 6137/989,9233/714 = [GCF of 6137,9233]/[LCM of 989,714]= 1/706146

Therefore, the GCF of 6137/989,9233/714 is 1/706146.

Greatest Common Factor of 6137,9233

To find the highest common factor of 6137,9233, we have to find the factors of both numbers and list the highest common factor.

The factors of 6137 are 1, 17, 19, 323, 361, 6137

The factors of 9233 are 1, 7, 1319, 9233

The HCF of 6137,9233 is 1.

Lets's calculate GCF of 6137,9233

Greatest Common Factor (GCF) of 6137,9233 By Common Division

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

Greatest Common Factor of 6137,9233 By Matching Biggest Common Factor Method

Now, list down the factors of 6137

1,17,19,323,361,6137

Now, list down the factors of 9233

1,7,1319,9233

Greatest Common Factor

We found the factors 6137,9233 . The biggest common factor number is the GCF number.
So the greatest common factor 6137,9233 is 1.

Lets's calculate LCM of 989,714

Lowest Common Multiple of 989,714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 706146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706146

Therefore, the GCF of Fractions 6137/989,9233/714 is 1/706146

Least Common Multiple of 989,714 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 989,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,714) = 1

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

GCF(989,714) x common factors =1 x 1 = 1

LCM(989,714) = ( 989 × 714 ) / 1

LCM(989,714) = 706146 / 1

LCM(989,714) = 706146

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FAQs on GCF of Fractions of 6137/989, 9233/714

1. What is the HCF of 6137,9233?

The HCF of 6137,9233 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 6137/989, 9233/714?

Answer: GCF of Numerators as per given numbers 6137/989, 9233/714 is

GCF of Numerators i.e. for 6137,9233 is 1

LCM of denominators i.e. for 989,714 is 706146.

Thus, GCF of Fractions is 1/706146.Finally, GCF of Fractions for 6137/989, 9233/714 is 1/706146.