How to Find GCF of 7054/129, 7054/1219?

GCF of 7054/129, 7054/1219

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 7054/129, 7054/1219 i.e 7054/157251 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7054/129, 7054/1219.

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 7054/129,7054/1219?

Given fractions are 7054/129,7054/1219

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 7054/129,7054/1219, numerators are 7054,7054

Denominators are 129,1219

The GCF of 7054,7054 is 7054 .

LCM of 129,1219 is 157251.

The greatest common factor of 7054/129,7054/1219 = [GCF of 7054,7054]/[LCM of 129,1219]= 7054/157251

Therefore, the GCF of 7054/129,7054/1219 is 7054/157251.

Greatest Common Factor of 7054,7054

To find the highest common factor of 7054,7054, we have to find the factors of both numbers and list the highest common factor.

The factors of 7054 are 1, 2, 3527, 7054

The HCF of 7054,7054 is 7054.

Lets's calculate GCF of 7054,7054

Greatest Common Factor (GCF) of 7054,7054 By Common Division

2	7054, 7054
3527	3527, 3527
	1, 1

∴ So the GCF of the given numbers is 2 x 3527 = 7054

Greatest Common Factor of 7054,7054 By Matching Biggest Common Factor Method

Now, list down the factors of 7054

1,2,3527,7054

Now, list down the factors of 7054

1,2,3527,7054

Greatest Common Factor

We found the factors 7054,7054 . The biggest common factor number is the GCF number.
So the greatest common factor 7054,7054 is 7054.

Lets's calculate LCM of 129,1219

Lowest Common Multiple of 129,1219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 157251

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7054/157251

Therefore, the GCF of Fractions 7054/129,7054/1219 is 7054/157251

Least Common Multiple of 129,1219 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 129,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,1219) = 1

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

GCF(129,1219) x common factors =1 x 1 = 1

LCM(129,1219) = ( 129 × 1219 ) / 1

LCM(129,1219) = 157251 / 1

LCM(129,1219) = 157251

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FAQs on GCF of Fractions of 7054/129, 7054/1219

1. What is the HCF of 7054,7054?

The HCF of 7054,7054 is 7054

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 7054/129, 7054/1219?

Answer: GCF of Numerators as per given numbers 7054/129, 7054/1219 is

GCF of Numerators i.e. for 7054,7054 is 7054

LCM of denominators i.e. for 129,1219 is 157251.

Thus, GCF of Fractions is 7054/157251.Finally, GCF of Fractions for 7054/129, 7054/1219 is 7054/157251.