How to Find GCF of 60/564, 3128/2699?

GCF of 60/564, 3128/2699

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 60/564, 3128/2699 i.e 4/1522236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/564, 3128/2699.

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 60/564,3128/2699?

Given fractions are 60/564,3128/2699

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 60/564,3128/2699, numerators are 60,3128

Denominators are 564,2699

The GCF of 60,3128 is 4 .

LCM of 564,2699 is 1522236.

The greatest common factor of 60/564,3128/2699 = [GCF of 60,3128]/[LCM of 564,2699]= 4/1522236

Therefore, the GCF of 60/564,3128/2699 is 4/1522236.

Greatest Common Factor of 60,3128

To find the highest common factor of 60,3128, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128

The HCF of 60,3128 is 4.

Lets's calculate GCF of 60,3128

Greatest Common Factor (GCF) of 60,3128 By Common Division

2	60, 3128
2	30, 1564
	15, 782

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 60,3128 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 3128

1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128

Greatest Common Factor

We found the factors 60,3128 . The biggest common factor number is the GCF number.
So the greatest common factor 60,3128 is 4.

Lets's calculate LCM of 564,2699

Lowest Common Multiple of 564,2699 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1522236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1522236

Therefore, the GCF of Fractions 60/564,3128/2699 is 4/1522236

Least Common Multiple of 564,2699 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 564,2699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,2699) = 1

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

GCF(564,2699) x common factors =1 x 1 = 1

LCM(564,2699) = ( 564 × 2699 ) / 1

LCM(564,2699) = 1522236 / 1

LCM(564,2699) = 1522236

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FAQs on GCF of Fractions of 60/564, 3128/2699

1. What is the HCF of 60,3128?

The HCF of 60,3128 is 4

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 60/564, 3128/2699?

Answer: GCF of Numerators as per given numbers 60/564, 3128/2699 is

GCF of Numerators i.e. for 60,3128 is 4

LCM of denominators i.e. for 564,2699 is 1522236.

Thus, GCF of Fractions is 4/1522236.Finally, GCF of Fractions for 60/564, 3128/2699 is 4/1522236.