How to Find GCF of 7053/989, 3493/7812?

GCF of 7053/989, 3493/7812

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 7053/989, 3493/7812 i.e 1/7726068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7053/989, 3493/7812.

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 7053/989,3493/7812?

Given fractions are 7053/989,3493/7812

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 7053/989,3493/7812, numerators are 7053,3493

Denominators are 989,7812

The GCF of 7053,3493 is 1 .

LCM of 989,7812 is 7726068.

The greatest common factor of 7053/989,3493/7812 = [GCF of 7053,3493]/[LCM of 989,7812]= 1/7726068

Therefore, the GCF of 7053/989,3493/7812 is 1/7726068.

Greatest Common Factor of 7053,3493

To find the highest common factor of 7053,3493, we have to find the factors of both numbers and list the highest common factor.

The factors of 7053 are 1, 3, 2351, 7053

The factors of 3493 are 1, 7, 499, 3493

The HCF of 7053,3493 is 1.

Lets's calculate GCF of 7053,3493

Greatest Common Factor (GCF) of 7053,3493 By Common Division

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

Greatest Common Factor of 7053,3493 By Matching Biggest Common Factor Method

Now, list down the factors of 7053

1,3,2351,7053

Now, list down the factors of 3493

1,7,499,3493

Greatest Common Factor

We found the factors 7053,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 7053,3493 is 1.

Lets's calculate LCM of 989,7812

Lowest Common Multiple of 989,7812 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7726068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7726068

Therefore, the GCF of Fractions 7053/989,3493/7812 is 1/7726068

Least Common Multiple of 989,7812 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 989,7812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,7812) = 1

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

GCF(989,7812) x common factors =1 x 1 = 1

LCM(989,7812) = ( 989 × 7812 ) / 1

LCM(989,7812) = 7726068 / 1

LCM(989,7812) = 7726068

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FAQs on GCF of Fractions of 7053/989, 3493/7812

1. What is the HCF of 7053,3493?

The HCF of 7053,3493 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 7053/989, 3493/7812?

Answer: GCF of Numerators as per given numbers 7053/989, 3493/7812 is

GCF of Numerators i.e. for 7053,3493 is 1

LCM of denominators i.e. for 989,7812 is 7726068.

Thus, GCF of Fractions is 1/7726068.Finally, GCF of Fractions for 7053/989, 3493/7812 is 1/7726068.