How to Find GCF of 98/20, 54/47, 651/874?

GCF of 98/20, 54/47, 651/874

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 98/20, 54/47, 651/874 i.e 1/410780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/20, 54/47, 651/874.

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 98/20,54/47,651/874?

Given fractions are 98/20,54/47,651/874

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 98/20,54/47,651/874, numerators are 98,54,651

Denominators are 20,47,874

The GCF of 98,54,651 is 1 .

LCM of 20,47,874 is 410780.

The greatest common factor of 98/20,54/47,651/874 = [GCF of 98,54,651]/[LCM of 20,47,874]= 1/410780

Therefore, the GCF of 98/20,54/47,651/874 is 1/410780.

Greatest Common Factor of 98,54,651

To find the highest common factor of 98,54,651, we have to find the factors of both numbers and list the highest common factor.

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651

The HCF of 98,54,651 is 1.

Lets's calculate GCF of 98,54,651

Greatest Common Factor (GCF) of 98,54,651 By Common Division

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

Greatest Common Factor of 98,54,651 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 651

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 98,54,651 . The biggest common factor number is the GCF number.
So the greatest common factor 98,54,651 is 1.

Lets's calculate LCM of 20,47,874

Lowest Common Multiple of 20,47,874 using Common Division

2	20, 47, 874
	10, 47, 437

∴ So the LCM of the given numbers is 2 x 10 x 47 x 437 = 410780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410780

Therefore, the GCF of Fractions 98/20,54/47,651/874 is 1/410780

Least Common Multiple of 20,47,874 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 20,47,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,47,874) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,47,874) x common factors =1 x 2 = 2

LCM(20,47,874) = ( 20 × 47 × 874 ) / 2

LCM(20,47,874) = 821560 / 2

LCM(20,47,874) = 410780

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 98/20, 54/47, 651/874

1. What is the HCF of 98,54,651?

The HCF of 98,54,651 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 98/20, 54/47, 651/874?

Answer: GCF of Numerators as per given numbers 98/20, 54/47, 651/874 is

GCF of Numerators i.e. for 98,54,651 is 1

LCM of denominators i.e. for 20,47,874 is 410780.

Thus, GCF of Fractions is 1/410780.Finally, GCF of Fractions for 98/20, 54/47, 651/874 is 1/410780.