How to Find GCF of 1351/700, 8914/381?

GCF of 1351/700, 8914/381

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 1351/700, 8914/381 i.e 1/266700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1351/700, 8914/381.

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 1351/700,8914/381?

Given fractions are 1351/700,8914/381

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 1351/700,8914/381, numerators are 1351,8914

Denominators are 700,381

The GCF of 1351,8914 is 1 .

LCM of 700,381 is 266700.

The greatest common factor of 1351/700,8914/381 = [GCF of 1351,8914]/[LCM of 700,381]= 1/266700

Therefore, the GCF of 1351/700,8914/381 is 1/266700.

Greatest Common Factor of 1351,8914

To find the highest common factor of 1351,8914, we have to find the factors of both numbers and list the highest common factor.

The factors of 1351 are 1, 7, 193, 1351

The factors of 8914 are 1, 2, 4457, 8914

The HCF of 1351,8914 is 1.

Lets's calculate GCF of 1351,8914

Greatest Common Factor (GCF) of 1351,8914 By Common Division

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

Greatest Common Factor of 1351,8914 By Matching Biggest Common Factor Method

Now, list down the factors of 1351

1,7,193,1351

Now, list down the factors of 8914

1,2,4457,8914

Greatest Common Factor

We found the factors 1351,8914 . The biggest common factor number is the GCF number.
So the greatest common factor 1351,8914 is 1.

Lets's calculate LCM of 700,381

Lowest Common Multiple of 700,381 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 266700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266700

Therefore, the GCF of Fractions 1351/700,8914/381 is 1/266700

Least Common Multiple of 700,381 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 700,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,381) = 1

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

GCF(700,381) x common factors =1 x 1 = 1

LCM(700,381) = ( 700 × 381 ) / 1

LCM(700,381) = 266700 / 1

LCM(700,381) = 266700

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FAQs on GCF of Fractions of 1351/700, 8914/381

1. What is the HCF of 1351,8914?

The HCF of 1351,8914 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 1351/700, 8914/381?

Answer: GCF of Numerators as per given numbers 1351/700, 8914/381 is

GCF of Numerators i.e. for 1351,8914 is 1

LCM of denominators i.e. for 700,381 is 266700.

Thus, GCF of Fractions is 1/266700.Finally, GCF of Fractions for 1351/700, 8914/381 is 1/266700.