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GCF of 942/83, 946/1834

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 942/83, 946/1834 i.e 2/152222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/83, 946/1834.

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 942/83,946/1834?

Given fractions are 942/83,946/1834

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 942/83,946/1834, numerators are 942,946

Denominators are 83,1834

The GCF of 942,946 is 2 .

LCM of 83,1834 is 152222.

The greatest common factor of 942/83,946/1834 = [GCF of 942,946]/[LCM of 83,1834]= 2/152222

Therefore, the GCF of 942/83,946/1834 is 2/152222.

Greatest Common Factor of 942,946

To find the highest common factor of 942,946, 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 946 are 1, 2, 11, 22, 43, 86, 473, 946

The HCF of 942,946 is 2.

Lets's calculate GCF of 942,946

Greatest Common Factor (GCF) of 942,946 By Common Division

2 942, 946
471, 473

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

Greatest Common Factor of 942,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,946 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 946

:

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 942,946 . The biggest common factor number is the GCF number.
So the greatest common factor 942,946 is 2.

Lets's calculate LCM of 83,1834

Lowest Common Multiple of 83,1834 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152222

Therefore, the GCF of Fractions 942/83,946/1834 is 2/152222

Least Common Multiple of 83,1834 with GCF Formula

Least Common Multiple of 83,1834 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 83,1834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,1834) = 1

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

GCF(83,1834) x common factors =1 x 1 = 1

LCM(83,1834) = ( 83 × 1834 ) / 1

LCM(83,1834) = 152222 / 1

LCM(83,1834) = 152222


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 942/83, 946/1834

1. What is the HCF of 942,946?

The HCF of 942,946 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 942/83, 946/1834?

Answer: GCF of Numerators as per given numbers 942/83, 946/1834 is

GCF of Numerators i.e. for 942,946 is 2

LCM of denominators i.e. for 83,1834 is 152222.

Thus, GCF of Fractions is 2/152222.Finally, GCF of Fractions for 942/83, 946/1834 is 2/152222.