How to Find GCF of 9762/546, 1126/4213?

GCF of 9762/546, 1126/4213

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 9762/546, 1126/4213 i.e 2/2300298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9762/546, 1126/4213.

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 9762/546,1126/4213?

Given fractions are 9762/546,1126/4213

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 9762/546,1126/4213, numerators are 9762,1126

Denominators are 546,4213

The GCF of 9762,1126 is 2 .

LCM of 546,4213 is 2300298.

The greatest common factor of 9762/546,1126/4213 = [GCF of 9762,1126]/[LCM of 546,4213]= 2/2300298

Therefore, the GCF of 9762/546,1126/4213 is 2/2300298.

Greatest Common Factor of 9762,1126

To find the highest common factor of 9762,1126, we have to find the factors of both numbers and list the highest common factor.

The factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762

The factors of 1126 are 1, 2, 563, 1126

The HCF of 9762,1126 is 2.

Lets's calculate GCF of 9762,1126

Greatest Common Factor (GCF) of 9762,1126 By Common Division

2	9762, 1126
	4881, 563

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9762,1126 By Matching Biggest Common Factor Method

Now, list down the factors of 9762

1,2,3,6,1627,3254,4881,9762

Now, list down the factors of 1126

1,2,563,1126

Greatest Common Factor

We found the factors 9762,1126 . The biggest common factor number is the GCF number.
So the greatest common factor 9762,1126 is 2.

Lets's calculate LCM of 546,4213

Lowest Common Multiple of 546,4213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2300298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2300298

Therefore, the GCF of Fractions 9762/546,1126/4213 is 2/2300298

Least Common Multiple of 546,4213 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 546,4213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,4213) = 1

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

GCF(546,4213) x common factors =1 x 1 = 1

LCM(546,4213) = ( 546 × 4213 ) / 1

LCM(546,4213) = 2300298 / 1

LCM(546,4213) = 2300298

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FAQs on GCF of Fractions of 9762/546, 1126/4213

1. What is the HCF of 9762,1126?

The HCF of 9762,1126 is 2

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 9762/546, 1126/4213?

Answer: GCF of Numerators as per given numbers 9762/546, 1126/4213 is

GCF of Numerators i.e. for 9762,1126 is 2

LCM of denominators i.e. for 546,4213 is 2300298.

Thus, GCF of Fractions is 2/2300298.Finally, GCF of Fractions for 9762/546, 1126/4213 is 2/2300298.