How to Find GCF of 7053/429, 7420/8855?

GCF of 7053/429, 7420/8855

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 7053/429, 7420/8855 i.e 1/345345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7053/429, 7420/8855.

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 7053/429,7420/8855?

Given fractions are 7053/429,7420/8855

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 7053/429,7420/8855, numerators are 7053,7420

Denominators are 429,8855

The GCF of 7053,7420 is 1 .

LCM of 429,8855 is 345345.

The greatest common factor of 7053/429,7420/8855 = [GCF of 7053,7420]/[LCM of 429,8855]= 1/345345

Therefore, the GCF of 7053/429,7420/8855 is 1/345345.

Greatest Common Factor of 7053,7420

To find the highest common factor of 7053,7420, we have to find the factors of both numbers and list the highest common factor.

The factors of 7053 are 1, 3, 2351, 7053

The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420

The HCF of 7053,7420 is 1.

Lets's calculate GCF of 7053,7420

Greatest Common Factor (GCF) of 7053,7420 By Common Division

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

Greatest Common Factor of 7053,7420 By Matching Biggest Common Factor Method

Now, list down the factors of 7053

1,3,2351,7053

Now, list down the factors of 7420

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors 7053,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 7053,7420 is 1.

Lets's calculate LCM of 429,8855

Lowest Common Multiple of 429,8855 using Common Division

11	429, 8855
	39, 805

∴ So the LCM of the given numbers is 11 x 39 x 805 = 345345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345345

Therefore, the GCF of Fractions 7053/429,7420/8855 is 1/345345

Least Common Multiple of 429,8855 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 429,8855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,8855) = 11

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

GCF(429,8855) x common factors =11 x 1 = 11

LCM(429,8855) = ( 429 × 8855 ) / 11

LCM(429,8855) = 3798795 / 11

LCM(429,8855) = 345345

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7053/429, 7420/8855

1. What is the HCF of 7053,7420?

The HCF of 7053,7420 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 7053/429, 7420/8855?

Answer: GCF of Numerators as per given numbers 7053/429, 7420/8855 is

GCF of Numerators i.e. for 7053,7420 is 1

LCM of denominators i.e. for 429,8855 is 345345.

Thus, GCF of Fractions is 1/345345.Finally, GCF of Fractions for 7053/429, 7420/8855 is 1/345345.