How to Find GCF of 7627/942, 4657/7450?

GCF of 7627/942, 4657/7450

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 7627/942, 4657/7450 i.e 1/3508950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7627/942, 4657/7450.

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 7627/942,4657/7450?

Given fractions are 7627/942,4657/7450

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 7627/942,4657/7450, numerators are 7627,4657

Denominators are 942,7450

The GCF of 7627,4657 is 1 .

LCM of 942,7450 is 3508950.

The greatest common factor of 7627/942,4657/7450 = [GCF of 7627,4657]/[LCM of 942,7450]= 1/3508950

Therefore, the GCF of 7627/942,4657/7450 is 1/3508950.

Greatest Common Factor of 7627,4657

To find the highest common factor of 7627,4657, we have to find the factors of both numbers and list the highest common factor.

The factors of 7627 are 1, 29, 263, 7627

The factors of 4657 are 1, 4657

The HCF of 7627,4657 is 1.

Lets's calculate GCF of 7627,4657

Greatest Common Factor (GCF) of 7627,4657 By Common Division

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

Greatest Common Factor of 7627,4657 By Matching Biggest Common Factor Method

Now, list down the factors of 7627

1,29,263,7627

Now, list down the factors of 4657

1,4657

Greatest Common Factor

We found the factors 7627,4657 . The biggest common factor number is the GCF number.
So the greatest common factor 7627,4657 is 1.

Lets's calculate LCM of 942,7450

Lowest Common Multiple of 942,7450 using Common Division

2	942, 7450
	471, 3725

∴ So the LCM of the given numbers is 2 x 471 x 3725 = 3508950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3508950

Therefore, the GCF of Fractions 7627/942,4657/7450 is 1/3508950

Least Common Multiple of 942,7450 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 942,7450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,7450) = 2

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

GCF(942,7450) x common factors =2 x 1 = 2

LCM(942,7450) = ( 942 × 7450 ) / 2

LCM(942,7450) = 7017900 / 2

LCM(942,7450) = 3508950

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FAQs on GCF of Fractions of 7627/942, 4657/7450

1. What is the HCF of 7627,4657?

The HCF of 7627,4657 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 7627/942, 4657/7450?

Answer: GCF of Numerators as per given numbers 7627/942, 4657/7450 is

GCF of Numerators i.e. for 7627,4657 is 1

LCM of denominators i.e. for 942,7450 is 3508950.

Thus, GCF of Fractions is 1/3508950.Finally, GCF of Fractions for 7627/942, 4657/7450 is 1/3508950.