How to Find GCF of 9140/877, 1419/9192?

GCF of 9140/877, 1419/9192

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 9140/877, 1419/9192 i.e 1/8061384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9140/877, 1419/9192.

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 9140/877,1419/9192?

Given fractions are 9140/877,1419/9192

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 9140/877,1419/9192, numerators are 9140,1419

Denominators are 877,9192

The GCF of 9140,1419 is 1 .

LCM of 877,9192 is 8061384.

The greatest common factor of 9140/877,1419/9192 = [GCF of 9140,1419]/[LCM of 877,9192]= 1/8061384

Therefore, the GCF of 9140/877,1419/9192 is 1/8061384.

Greatest Common Factor of 9140,1419

To find the highest common factor of 9140,1419, we have to find the factors of both numbers and list the highest common factor.

The factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140

The factors of 1419 are 1, 3, 11, 33, 43, 129, 473, 1419

The HCF of 9140,1419 is 1.

Lets's calculate GCF of 9140,1419

Greatest Common Factor (GCF) of 9140,1419 By Common Division

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

Greatest Common Factor of 9140,1419 By Matching Biggest Common Factor Method

Now, list down the factors of 9140

1,2,4,5,10,20,457,914,1828,2285,4570,9140

Now, list down the factors of 1419

1,3,11,33,43,129,473,1419

Greatest Common Factor

We found the factors 9140,1419 . The biggest common factor number is the GCF number.
So the greatest common factor 9140,1419 is 1.

Lets's calculate LCM of 877,9192

Lowest Common Multiple of 877,9192 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8061384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8061384

Therefore, the GCF of Fractions 9140/877,1419/9192 is 1/8061384

Least Common Multiple of 877,9192 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 877,9192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(877,9192) = 1

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

GCF(877,9192) x common factors =1 x 1 = 1

LCM(877,9192) = ( 877 × 9192 ) / 1

LCM(877,9192) = 8061384 / 1

LCM(877,9192) = 8061384

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FAQs on GCF of Fractions of 9140/877, 1419/9192

1. What is the HCF of 9140,1419?

The HCF of 9140,1419 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 9140/877, 1419/9192?

Answer: GCF of Numerators as per given numbers 9140/877, 1419/9192 is

GCF of Numerators i.e. for 9140,1419 is 1

LCM of denominators i.e. for 877,9192 is 8061384.

Thus, GCF of Fractions is 1/8061384.Finally, GCF of Fractions for 9140/877, 1419/9192 is 1/8061384.