How to Find GCF of 98/632, 95/896, 743/231?

GCF of 98/632, 95/896, 743/231

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 98/632, 95/896, 743/231 i.e 1/2335872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/632, 95/896, 743/231.

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 98/632,95/896,743/231?

Given fractions are 98/632,95/896,743/231

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 98/632,95/896,743/231, numerators are 98,95,743

Denominators are 632,896,231

The GCF of 98,95,743 is 1 .

LCM of 632,896,231 is 2335872.

The greatest common factor of 98/632,95/896,743/231 = [GCF of 98,95,743]/[LCM of 632,896,231]= 1/2335872

Therefore, the GCF of 98/632,95/896,743/231 is 1/2335872.

Greatest Common Factor of 98,95,743

To find the highest common factor of 98,95,743, 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 95 are 1, 5, 19, 95

The factors of 743 are 1, 743

The HCF of 98,95,743 is 1.

Lets's calculate GCF of 98,95,743

Greatest Common Factor (GCF) of 98,95,743 By Common Division

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

Greatest Common Factor of 98,95,743 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 95

1,5,19,95

Now, list down the factors of 743

1,743

Greatest Common Factor

We found the factors 98,95,743 . The biggest common factor number is the GCF number.
So the greatest common factor 98,95,743 is 1.

Lets's calculate LCM of 632,896,231

Lowest Common Multiple of 632,896,231 using Common Division

2	632, 896, 231
2	316, 448, 231
2	158, 224, 231
7	79, 112, 231
	79, 16, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 79 x 16 x 33 = 2335872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2335872

Therefore, the GCF of Fractions 98/632,95/896,743/231 is 1/2335872

Least Common Multiple of 632,896,231 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 632,896,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,896,231) = 1

common factors(in case of two or more numbers have common factors) = 56

GCF(632,896,231) x common factors =1 x 56 = 56

LCM(632,896,231) = ( 632 × 896 × 231 ) / 56

LCM(632,896,231) = 130808832 / 56

LCM(632,896,231) = 2335872

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 98/632, 95/896, 743/231

1. What is the HCF of 98,95,743?

The HCF of 98,95,743 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 98/632, 95/896, 743/231?

Answer: GCF of Numerators as per given numbers 98/632, 95/896, 743/231 is

GCF of Numerators i.e. for 98,95,743 is 1

LCM of denominators i.e. for 632,896,231 is 2335872.

Thus, GCF of Fractions is 1/2335872.Finally, GCF of Fractions for 98/632, 95/896, 743/231 is 1/2335872.