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GCF of 942/61, 489/690

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 942/61, 489/690 i.e 3/42090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/61, 489/690.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 942/61,489/690?

Given fractions are 942/61,489/690

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 942/61,489/690, numerators are 942,489

Denominators are 61,690

The GCF of 942,489 is 3 .

LCM of 61,690 is 42090.

The greatest common factor of 942/61,489/690 = [GCF of 942,489]/[LCM of 61,690]= 3/42090

Therefore, the GCF of 942/61,489/690 is 3/42090.

Greatest Common Factor of 942,489

To find the highest common factor of 942,489, we have to find the factors of both numbers and list the highest common factor.

The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942

The factors of 489 are 1, 3, 163, 489

The HCF of 942,489 is 3.

Lets's calculate GCF of 942,489

Greatest Common Factor (GCF) of 942,489 By Common Division

3 942, 489
314, 163

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 942,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,489 By Matching Biggest Common Factor Method

Now, list down the factors of 942

:

1,2,3,6,157,314,471,942

Now, list down the factors of 489

:

1,3,163,489

Greatest Common Factor

We found the factors 942,489 . The biggest common factor number is the GCF number.
So the greatest common factor 942,489 is 3.

Lets's calculate LCM of 61,690

Lowest Common Multiple of 61,690 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 42090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/42090

Therefore, the GCF of Fractions 942/61,489/690 is 3/42090

Least Common Multiple of 61,690 with GCF Formula

Least Common Multiple of 61,690 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 61,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,690) = 1

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

GCF(61,690) x common factors =1 x 1 = 1

LCM(61,690) = ( 61 × 690 ) / 1

LCM(61,690) = 42090 / 1

LCM(61,690) = 42090


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FAQs on GCF of Fractions of 942/61, 489/690

1. What is the HCF of 942,489?

The HCF of 942,489 is 3

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 942/61, 489/690?

Answer: GCF of Numerators as per given numbers 942/61, 489/690 is

GCF of Numerators i.e. for 942,489 is 3

LCM of denominators i.e. for 61,690 is 42090.

Thus, GCF of Fractions is 3/42090.Finally, GCF of Fractions for 942/61, 489/690 is 3/42090.