How to Find GCF of 5628/601, 2213/548?

GCF of 5628/601, 2213/548

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 5628/601, 2213/548 i.e 1/329348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5628/601, 2213/548.

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 5628/601,2213/548?

Given fractions are 5628/601,2213/548

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 5628/601,2213/548, numerators are 5628,2213

Denominators are 601,548

The GCF of 5628,2213 is 1 .

LCM of 601,548 is 329348.

The greatest common factor of 5628/601,2213/548 = [GCF of 5628,2213]/[LCM of 601,548]= 1/329348

Therefore, the GCF of 5628/601,2213/548 is 1/329348.

Greatest Common Factor of 5628,2213

To find the highest common factor of 5628,2213, we have to find the factors of both numbers and list the highest common factor.

The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628

The factors of 2213 are 1, 2213

The HCF of 5628,2213 is 1.

Lets's calculate GCF of 5628,2213

Greatest Common Factor (GCF) of 5628,2213 By Common Division

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

Greatest Common Factor of 5628,2213 By Matching Biggest Common Factor Method

Now, list down the factors of 5628

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Now, list down the factors of 2213

1,2213

Greatest Common Factor

We found the factors 5628,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 5628,2213 is 1.

Lets's calculate LCM of 601,548

Lowest Common Multiple of 601,548 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 329348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329348

Therefore, the GCF of Fractions 5628/601,2213/548 is 1/329348

Least Common Multiple of 601,548 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 601,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,548) = 1

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

GCF(601,548) x common factors =1 x 1 = 1

LCM(601,548) = ( 601 × 548 ) / 1

LCM(601,548) = 329348 / 1

LCM(601,548) = 329348

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FAQs on GCF of Fractions of 5628/601, 2213/548

1. What is the HCF of 5628,2213?

The HCF of 5628,2213 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 5628/601, 2213/548?

Answer: GCF of Numerators as per given numbers 5628/601, 2213/548 is

GCF of Numerators i.e. for 5628,2213 is 1

LCM of denominators i.e. for 601,548 is 329348.

Thus, GCF of Fractions is 1/329348.Finally, GCF of Fractions for 5628/601, 2213/548 is 1/329348.