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GCF of 467/274, 9785/5014

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 467/274, 9785/5014 i.e 1/686918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/274, 9785/5014.

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 467/274,9785/5014?

Given fractions are 467/274,9785/5014

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 467/274,9785/5014, numerators are 467,9785

Denominators are 274,5014

The GCF of 467,9785 is 1 .

LCM of 274,5014 is 686918.

The greatest common factor of 467/274,9785/5014 = [GCF of 467,9785]/[LCM of 274,5014]= 1/686918

Therefore, the GCF of 467/274,9785/5014 is 1/686918.

Greatest Common Factor of 467,9785

To find the highest common factor of 467,9785, we have to find the factors of both numbers and list the highest common factor.

The factors of 467 are 1, 467

The factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785

The HCF of 467,9785 is 1.

Lets's calculate GCF of 467,9785

Greatest Common Factor (GCF) of 467,9785 By Common Division

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

Greatest Common Factor of 467,9785 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,9785 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 9785

:

1,5,19,95,103,515,1957,9785

Greatest Common Factor

We found the factors 467,9785 . The biggest common factor number is the GCF number.
So the greatest common factor 467,9785 is 1.

Lets's calculate LCM of 274,5014

Lowest Common Multiple of 274,5014 using Common Division

2 274, 5014
137, 2507

∴ So the LCM of the given numbers is 2 x 137 x 2507 = 686918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686918

Therefore, the GCF of Fractions 467/274,9785/5014 is 1/686918

Least Common Multiple of 274,5014 with GCF Formula

Least Common Multiple of 274,5014 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 274,5014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,5014) = 2

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

GCF(274,5014) x common factors =2 x 1 = 2

LCM(274,5014) = ( 274 × 5014 ) / 2

LCM(274,5014) = 1373836 / 2

LCM(274,5014) = 686918


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FAQs on GCF of Fractions of 467/274, 9785/5014

1. What is the HCF of 467,9785?

The HCF of 467,9785 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 467/274, 9785/5014?

Answer: GCF of Numerators as per given numbers 467/274, 9785/5014 is

GCF of Numerators i.e. for 467,9785 is 1

LCM of denominators i.e. for 274,5014 is 686918.

Thus, GCF of Fractions is 1/686918.Finally, GCF of Fractions for 467/274, 9785/5014 is 1/686918.