How to Find GCF of 7703/438, 9746/8012?

GCF of 7703/438, 9746/8012

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 7703/438, 9746/8012 i.e 1/1754628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7703/438, 9746/8012.

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 7703/438,9746/8012?

Given fractions are 7703/438,9746/8012

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 7703/438,9746/8012, numerators are 7703,9746

Denominators are 438,8012

The GCF of 7703,9746 is 1 .

LCM of 438,8012 is 1754628.

The greatest common factor of 7703/438,9746/8012 = [GCF of 7703,9746]/[LCM of 438,8012]= 1/1754628

Therefore, the GCF of 7703/438,9746/8012 is 1/1754628.

Greatest Common Factor of 7703,9746

To find the highest common factor of 7703,9746, we have to find the factors of both numbers and list the highest common factor.

The factors of 7703 are 1, 7703

The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746

The HCF of 7703,9746 is 1.

Lets's calculate GCF of 7703,9746

Greatest Common Factor (GCF) of 7703,9746 By Common Division

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

Greatest Common Factor of 7703,9746 By Matching Biggest Common Factor Method

Now, list down the factors of 7703

1,7703

Now, list down the factors of 9746

1,2,11,22,443,886,4873,9746

Greatest Common Factor

We found the factors 7703,9746 . The biggest common factor number is the GCF number.
So the greatest common factor 7703,9746 is 1.

Lets's calculate LCM of 438,8012

Lowest Common Multiple of 438,8012 using Common Division

2	438, 8012
	219, 4006

∴ So the LCM of the given numbers is 2 x 219 x 4006 = 1754628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1754628

Therefore, the GCF of Fractions 7703/438,9746/8012 is 1/1754628

Least Common Multiple of 438,8012 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 438,8012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,8012) = 2

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

GCF(438,8012) x common factors =2 x 1 = 2

LCM(438,8012) = ( 438 × 8012 ) / 2

LCM(438,8012) = 3509256 / 2

LCM(438,8012) = 1754628

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FAQs on GCF of Fractions of 7703/438, 9746/8012

1. What is the HCF of 7703,9746?

The HCF of 7703,9746 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 7703/438, 9746/8012?

Answer: GCF of Numerators as per given numbers 7703/438, 9746/8012 is

GCF of Numerators i.e. for 7703,9746 is 1

LCM of denominators i.e. for 438,8012 is 1754628.

Thus, GCF of Fractions is 1/1754628.Finally, GCF of Fractions for 7703/438, 9746/8012 is 1/1754628.