How to Find GCF of 606/954, 2128/3131?

GCF of 606/954, 2128/3131

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 606/954, 2128/3131 i.e 2/2986974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/954, 2128/3131.

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 606/954,2128/3131?

Given fractions are 606/954,2128/3131

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 606/954,2128/3131, numerators are 606,2128

Denominators are 954,3131

The GCF of 606,2128 is 2 .

LCM of 954,3131 is 2986974.

The greatest common factor of 606/954,2128/3131 = [GCF of 606,2128]/[LCM of 954,3131]= 2/2986974

Therefore, the GCF of 606/954,2128/3131 is 2/2986974.

Greatest Common Factor of 606,2128

To find the highest common factor of 606,2128, we have to find the factors of both numbers and list the highest common factor.

The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606

The factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128

The HCF of 606,2128 is 2.

Lets's calculate GCF of 606,2128

Greatest Common Factor (GCF) of 606,2128 By Common Division

2	606, 2128
	303, 1064

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

Greatest Common Factor of 606,2128 By Matching Biggest Common Factor Method

Now, list down the factors of 606

1,2,3,6,101,202,303,606

Now, list down the factors of 2128

1,2,4,7,8,14,16,19,28,38,56,76,112,133,152,266,304,532,1064,2128

Greatest Common Factor

We found the factors 606,2128 . The biggest common factor number is the GCF number.
So the greatest common factor 606,2128 is 2.

Lets's calculate LCM of 954,3131

Lowest Common Multiple of 954,3131 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2986974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2986974

Therefore, the GCF of Fractions 606/954,2128/3131 is 2/2986974

Least Common Multiple of 954,3131 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 954,3131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,3131) = 1

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

GCF(954,3131) x common factors =1 x 1 = 1

LCM(954,3131) = ( 954 × 3131 ) / 1

LCM(954,3131) = 2986974 / 1

LCM(954,3131) = 2986974

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FAQs on GCF of Fractions of 606/954, 2128/3131

1. What is the HCF of 606,2128?

The HCF of 606,2128 is 2

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 606/954, 2128/3131?

Answer: GCF of Numerators as per given numbers 606/954, 2128/3131 is

GCF of Numerators i.e. for 606,2128 is 2

LCM of denominators i.e. for 954,3131 is 2986974.

Thus, GCF of Fractions is 2/2986974.Finally, GCF of Fractions for 606/954, 2128/3131 is 2/2986974.