How to Find GCF of 700/89, 251/5329?

GCF of 700/89, 251/5329

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 700/89, 251/5329 i.e 1/474281 easily. The following is the detailed procedure to determine the greatest common factor of fractions 700/89, 251/5329.

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 700/89,251/5329?

Given fractions are 700/89,251/5329

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 700/89,251/5329, numerators are 700,251

Denominators are 89,5329

The GCF of 700,251 is 1 .

LCM of 89,5329 is 474281.

The greatest common factor of 700/89,251/5329 = [GCF of 700,251]/[LCM of 89,5329]= 1/474281

Therefore, the GCF of 700/89,251/5329 is 1/474281.

Greatest Common Factor of 700,251

To find the highest common factor of 700,251, we have to find the factors of both numbers and list the highest common factor.

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The factors of 251 are 1, 251

The HCF of 700,251 is 1.

Lets's calculate GCF of 700,251

Greatest Common Factor (GCF) of 700,251 By Common Division

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

Greatest Common Factor of 700,251 By Matching Biggest Common Factor Method

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Now, list down the factors of 251

1,251

Greatest Common Factor

We found the factors 700,251 . The biggest common factor number is the GCF number.
So the greatest common factor 700,251 is 1.

Lets's calculate LCM of 89,5329

Lowest Common Multiple of 89,5329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 474281

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474281

Therefore, the GCF of Fractions 700/89,251/5329 is 1/474281

Least Common Multiple of 89,5329 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 89,5329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,5329) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,5329) x common factors =1 x 1 = 1

LCM(89,5329) = ( 89 × 5329 ) / 1

LCM(89,5329) = 474281 / 1

LCM(89,5329) = 474281

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 700/89, 251/5329

1. What is the HCF of 700,251?

The HCF of 700,251 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 700/89, 251/5329?

Answer: GCF of Numerators as per given numbers 700/89, 251/5329 is

GCF of Numerators i.e. for 700,251 is 1

LCM of denominators i.e. for 89,5329 is 474281.

Thus, GCF of Fractions is 1/474281.Finally, GCF of Fractions for 700/89, 251/5329 is 1/474281.