How to Find GCF of 707/697, 987/116, 998/264?

GCF of 707/697, 987/116, 998/264

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 707/697, 987/116, 998/264 i.e 1/5336232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/697, 987/116, 998/264.

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 707/697,987/116,998/264?

Given fractions are 707/697,987/116,998/264

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 707/697,987/116,998/264, numerators are 707,987,998

Denominators are 697,116,264

The GCF of 707,987,998 is 1 .

LCM of 697,116,264 is 5336232.

The greatest common factor of 707/697,987/116,998/264 = [GCF of 707,987,998]/[LCM of 697,116,264]= 1/5336232

Therefore, the GCF of 707/697,987/116,998/264 is 1/5336232.

Greatest Common Factor of 707,987,998

To find the highest common factor of 707,987,998, we have to find the factors of both numbers and list the highest common factor.

The factors of 707 are 1, 7, 101, 707

The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987

The factors of 998 are 1, 2, 499, 998

The HCF of 707,987,998 is 1.

Lets's calculate GCF of 707,987,998

Greatest Common Factor (GCF) of 707,987,998 By Common Division

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

Greatest Common Factor of 707,987,998 By Matching Biggest Common Factor Method

Now, list down the factors of 707

1,7,101,707

Now, list down the factors of 987

1,3,7,21,47,141,329,987

Now, list down the factors of 998

1,2,499,998

Greatest Common Factor

We found the factors 707,987,998 . The biggest common factor number is the GCF number.
So the greatest common factor 707,987,998 is 1.

Lets's calculate LCM of 697,116,264

Lowest Common Multiple of 697,116,264 using Common Division

2	697, 116, 264
2	697, 58, 132
	697, 29, 66

∴ So the LCM of the given numbers is 2 x 2 x 697 x 29 x 66 = 5336232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5336232

Therefore, the GCF of Fractions 707/697,987/116,998/264 is 1/5336232

Least Common Multiple of 697,116,264 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 697,116,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,116,264) = 1

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

GCF(697,116,264) x common factors =1 x 4 = 4

LCM(697,116,264) = ( 697 × 116 × 264 ) / 4

LCM(697,116,264) = 21344928 / 4

LCM(697,116,264) = 5336232

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 707/697, 987/116, 998/264

1. What is the HCF of 707,987,998?

The HCF of 707,987,998 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 707/697, 987/116, 998/264?

Answer: GCF of Numerators as per given numbers 707/697, 987/116, 998/264 is

GCF of Numerators i.e. for 707,987,998 is 1

LCM of denominators i.e. for 697,116,264 is 5336232.

Thus, GCF of Fractions is 1/5336232.Finally, GCF of Fractions for 707/697, 987/116, 998/264 is 1/5336232.