How to Find GCF of 5470/214, 5053/7548?

GCF of 5470/214, 5053/7548

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 5470/214, 5053/7548 i.e 1/807636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5470/214, 5053/7548.

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 5470/214,5053/7548?

Given fractions are 5470/214,5053/7548

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 5470/214,5053/7548, numerators are 5470,5053

Denominators are 214,7548

The GCF of 5470,5053 is 1 .

LCM of 214,7548 is 807636.

The greatest common factor of 5470/214,5053/7548 = [GCF of 5470,5053]/[LCM of 214,7548]= 1/807636

Therefore, the GCF of 5470/214,5053/7548 is 1/807636.

Greatest Common Factor of 5470,5053

To find the highest common factor of 5470,5053, we have to find the factors of both numbers and list the highest common factor.

The factors of 5470 are 1, 2, 5, 10, 547, 1094, 2735, 5470

The factors of 5053 are 1, 31, 163, 5053

The HCF of 5470,5053 is 1.

Lets's calculate GCF of 5470,5053

Greatest Common Factor (GCF) of 5470,5053 By Common Division

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

Greatest Common Factor of 5470,5053 By Matching Biggest Common Factor Method

Now, list down the factors of 5470

1,2,5,10,547,1094,2735,5470

Now, list down the factors of 5053

1,31,163,5053

Greatest Common Factor

We found the factors 5470,5053 . The biggest common factor number is the GCF number.
So the greatest common factor 5470,5053 is 1.

Lets's calculate LCM of 214,7548

Lowest Common Multiple of 214,7548 using Common Division

2	214, 7548
	107, 3774

∴ So the LCM of the given numbers is 2 x 107 x 3774 = 807636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/807636

Therefore, the GCF of Fractions 5470/214,5053/7548 is 1/807636

Least Common Multiple of 214,7548 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 214,7548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,7548) = 2

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

GCF(214,7548) x common factors =2 x 1 = 2

LCM(214,7548) = ( 214 × 7548 ) / 2

LCM(214,7548) = 1615272 / 2

LCM(214,7548) = 807636

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FAQs on GCF of Fractions of 5470/214, 5053/7548

1. What is the HCF of 5470,5053?

The HCF of 5470,5053 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 5470/214, 5053/7548?

Answer: GCF of Numerators as per given numbers 5470/214, 5053/7548 is

GCF of Numerators i.e. for 5470,5053 is 1

LCM of denominators i.e. for 214,7548 is 807636.

Thus, GCF of Fractions is 1/807636.Finally, GCF of Fractions for 5470/214, 5053/7548 is 1/807636.