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GCF of 467/986, 1651/998

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 467/986, 1651/998 i.e 1/492014 easily. The following is the detailed procedure to determine the greatest common factor of fractions 467/986, 1651/998.

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 467/986,1651/998?

Given fractions are 467/986,1651/998

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 467/986,1651/998, numerators are 467,1651

Denominators are 986,998

The GCF of 467,1651 is 1 .

LCM of 986,998 is 492014.

The greatest common factor of 467/986,1651/998 = [GCF of 467,1651]/[LCM of 986,998]= 1/492014

Therefore, the GCF of 467/986,1651/998 is 1/492014.

Greatest Common Factor of 467,1651

To find the highest common factor of 467,1651, 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 1651 are 1, 13, 127, 1651

The HCF of 467,1651 is 1.

Lets's calculate GCF of 467,1651

Greatest Common Factor (GCF) of 467,1651 By Common Division

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

Greatest Common Factor of 467,1651 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,1651 By Matching Biggest Common Factor Method

Now, list down the factors of 467

:

1,467

Now, list down the factors of 1651

:

1,13,127,1651

Greatest Common Factor

We found the factors 467,1651 . The biggest common factor number is the GCF number.
So the greatest common factor 467,1651 is 1.

Lets's calculate LCM of 986,998

Lowest Common Multiple of 986,998 using Common Division

2 986, 998
493, 499

∴ So the LCM of the given numbers is 2 x 493 x 499 = 492014

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/492014

Therefore, the GCF of Fractions 467/986,1651/998 is 1/492014

Least Common Multiple of 986,998 with GCF Formula

Least Common Multiple of 986,998 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 986,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,998) = 2

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

GCF(986,998) x common factors =2 x 1 = 2

LCM(986,998) = ( 986 × 998 ) / 2

LCM(986,998) = 984028 / 2

LCM(986,998) = 492014


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FAQs on GCF of Fractions of 467/986, 1651/998

1. What is the HCF of 467,1651?

The HCF of 467,1651 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 467/986, 1651/998?

Answer: GCF of Numerators as per given numbers 467/986, 1651/998 is

GCF of Numerators i.e. for 467,1651 is 1

LCM of denominators i.e. for 986,998 is 492014.

Thus, GCF of Fractions is 1/492014.Finally, GCF of Fractions for 467/986, 1651/998 is 1/492014.