How to Find GCF of 63/88, 98/25, 745/36?

GCF of 63/88, 98/25, 745/36

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 63/88, 98/25, 745/36 i.e 1/19800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/88, 98/25, 745/36.

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 63/88,98/25,745/36?

Given fractions are 63/88,98/25,745/36

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 63/88,98/25,745/36, numerators are 63,98,745

Denominators are 88,25,36

The GCF of 63,98,745 is 1 .

LCM of 88,25,36 is 19800.

The greatest common factor of 63/88,98/25,745/36 = [GCF of 63,98,745]/[LCM of 88,25,36]= 1/19800

Therefore, the GCF of 63/88,98/25,745/36 is 1/19800.

Greatest Common Factor of 63,98,745

To find the highest common factor of 63,98,745, 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 98 are 1, 2, 7, 14, 49, 98

The factors of 745 are 1, 5, 149, 745

The HCF of 63,98,745 is 1.

Lets's calculate GCF of 63,98,745

Greatest Common Factor (GCF) of 63,98,745 By Common Division

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

Greatest Common Factor of 63,98,745 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 98

1,2,7,14,49,98

Now, list down the factors of 745

1,5,149,745

Greatest Common Factor

We found the factors 63,98,745 . The biggest common factor number is the GCF number.
So the greatest common factor 63,98,745 is 1.

Lets's calculate LCM of 88,25,36

Lowest Common Multiple of 88,25,36 using Common Division

2	88, 25, 36
2	44, 25, 18
	22, 25, 9

∴ So the LCM of the given numbers is 2 x 2 x 22 x 25 x 9 = 19800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19800

Therefore, the GCF of Fractions 63/88,98/25,745/36 is 1/19800

Least Common Multiple of 88,25,36 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 88,25,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,25,36) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,25,36) x common factors =1 x 4 = 4

LCM(88,25,36) = ( 88 × 25 × 36 ) / 4

LCM(88,25,36) = 79200 / 4

LCM(88,25,36) = 19800

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FAQs on GCF of Fractions of 63/88, 98/25, 745/36

1. What is the HCF of 63,98,745?

The HCF of 63,98,745 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 63/88, 98/25, 745/36?

Answer: GCF of Numerators as per given numbers 63/88, 98/25, 745/36 is

GCF of Numerators i.e. for 63,98,745 is 1

LCM of denominators i.e. for 88,25,36 is 19800.

Thus, GCF of Fractions is 1/19800.Finally, GCF of Fractions for 63/88, 98/25, 745/36 is 1/19800.