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GCF of 9043/986, 7057/3348

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 9043/986, 7057/3348 i.e 1/1650564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9043/986, 7057/3348.

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 9043/986,7057/3348?

Given fractions are 9043/986,7057/3348

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 9043/986,7057/3348, numerators are 9043,7057

Denominators are 986,3348

The GCF of 9043,7057 is 1 .

LCM of 986,3348 is 1650564.

The greatest common factor of 9043/986,7057/3348 = [GCF of 9043,7057]/[LCM of 986,3348]= 1/1650564

Therefore, the GCF of 9043/986,7057/3348 is 1/1650564.

Greatest Common Factor of 9043,7057

To find the highest common factor of 9043,7057, we have to find the factors of both numbers and list the highest common factor.

The factors of 9043 are 1, 9043

The factors of 7057 are 1, 7057

The HCF of 9043,7057 is 1.

Lets's calculate GCF of 9043,7057

Greatest Common Factor (GCF) of 9043,7057 By Common Division

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

Greatest Common Factor of 9043,7057 By Matching Biggest Common Factor Method

Greatest Common Factor of 9043,7057 By Matching Biggest Common Factor Method

Now, list down the factors of 9043

:

1,9043

Now, list down the factors of 7057

:

1,7057

Greatest Common Factor

We found the factors 9043,7057 . The biggest common factor number is the GCF number.
So the greatest common factor 9043,7057 is 1.

Lets's calculate LCM of 986,3348

Lowest Common Multiple of 986,3348 using Common Division

2 986, 3348
493, 1674

∴ So the LCM of the given numbers is 2 x 493 x 1674 = 1650564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1650564

Therefore, the GCF of Fractions 9043/986,7057/3348 is 1/1650564

Least Common Multiple of 986,3348 with GCF Formula

Least Common Multiple of 986,3348 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 986,3348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,3348) = 2

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

GCF(986,3348) x common factors =2 x 1 = 2

LCM(986,3348) = ( 986 × 3348 ) / 2

LCM(986,3348) = 3301128 / 2

LCM(986,3348) = 1650564


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9043/986, 7057/3348

1. What is the HCF of 9043,7057?

The HCF of 9043,7057 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 9043/986, 7057/3348?

Answer: GCF of Numerators as per given numbers 9043/986, 7057/3348 is

GCF of Numerators i.e. for 9043,7057 is 1

LCM of denominators i.e. for 986,3348 is 1650564.

Thus, GCF of Fractions is 1/1650564.Finally, GCF of Fractions for 9043/986, 7057/3348 is 1/1650564.