How to Find GCF of 63/901, 54/140, 991/358?

GCF of 63/901, 54/140, 991/358

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 63/901, 54/140, 991/358 i.e 1/22579060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/901, 54/140, 991/358.

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 63/901,54/140,991/358?

Given fractions are 63/901,54/140,991/358

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 63/901,54/140,991/358, numerators are 63,54,991

Denominators are 901,140,358

The GCF of 63,54,991 is 1 .

LCM of 901,140,358 is 22579060.

The greatest common factor of 63/901,54/140,991/358 = [GCF of 63,54,991]/[LCM of 901,140,358]= 1/22579060

Therefore, the GCF of 63/901,54/140,991/358 is 1/22579060.

Greatest Common Factor of 63,54,991

To find the highest common factor of 63,54,991, we have to find the factors of both numbers and list the highest common factor.

The factors of 63 are 1, 3, 7, 9, 21, 63

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

The factors of 991 are 1, 991

The HCF of 63,54,991 is 1.

Lets's calculate GCF of 63,54,991

Greatest Common Factor (GCF) of 63,54,991 By Common Division

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

Greatest Common Factor of 63,54,991 By Matching Biggest Common Factor Method

Now, list down the factors of 63

1,3,7,9,21,63

Now, list down the factors of 54

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

Now, list down the factors of 991

1,991

Greatest Common Factor

We found the factors 63,54,991 . The biggest common factor number is the GCF number.
So the greatest common factor 63,54,991 is 1.

Lets's calculate LCM of 901,140,358

Lowest Common Multiple of 901,140,358 using Common Division

2	901, 140, 358
	901, 70, 179

∴ So the LCM of the given numbers is 2 x 901 x 70 x 179 = 22579060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22579060

Therefore, the GCF of Fractions 63/901,54/140,991/358 is 1/22579060

Least Common Multiple of 901,140,358 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 901,140,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,140,358) = 1

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

GCF(901,140,358) x common factors =1 x 2 = 2

LCM(901,140,358) = ( 901 × 140 × 358 ) / 2

LCM(901,140,358) = 45158120 / 2

LCM(901,140,358) = 22579060

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 63/901, 54/140, 991/358

1. What is the HCF of 63,54,991?

The HCF of 63,54,991 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 63/901, 54/140, 991/358?

Answer: GCF of Numerators as per given numbers 63/901, 54/140, 991/358 is

GCF of Numerators i.e. for 63,54,991 is 1

LCM of denominators i.e. for 901,140,358 is 22579060.

Thus, GCF of Fractions is 1/22579060.Finally, GCF of Fractions for 63/901, 54/140, 991/358 is 1/22579060.