How to Find GCF of 954/807, 5844/152?

GCF of 954/807, 5844/152

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 954/807, 5844/152 i.e 6/122664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/807, 5844/152.

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 954/807,5844/152?

Given fractions are 954/807,5844/152

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 954/807,5844/152, numerators are 954,5844

Denominators are 807,152

The GCF of 954,5844 is 6 .

LCM of 807,152 is 122664.

The greatest common factor of 954/807,5844/152 = [GCF of 954,5844]/[LCM of 807,152]= 6/122664

Therefore, the GCF of 954/807,5844/152 is 6/122664.

Greatest Common Factor of 954,5844

To find the highest common factor of 954,5844, we have to find the factors of both numbers and list the highest common factor.

The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

The factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

The HCF of 954,5844 is 6.

Lets's calculate GCF of 954,5844

Greatest Common Factor (GCF) of 954,5844 By Common Division

2	954, 5844
3	477, 2922
	159, 974

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 954,5844 By Matching Biggest Common Factor Method

Now, list down the factors of 954

1,2,3,6,9,18,53,106,159,318,477,954

Now, list down the factors of 5844

1,2,3,4,6,12,487,974,1461,1948,2922,5844

Greatest Common Factor

We found the factors 954,5844 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5844 is 6.

Lets's calculate LCM of 807,152

Lowest Common Multiple of 807,152 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 122664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/122664

Therefore, the GCF of Fractions 954/807,5844/152 is 6/122664

Least Common Multiple of 807,152 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 807,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,152) = 1

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

GCF(807,152) x common factors =1 x 1 = 1

LCM(807,152) = ( 807 × 152 ) / 1

LCM(807,152) = 122664 / 1

LCM(807,152) = 122664

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FAQs on GCF of Fractions of 954/807, 5844/152

1. What is the HCF of 954,5844?

The HCF of 954,5844 is 6

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 954/807, 5844/152?

Answer: GCF of Numerators as per given numbers 954/807, 5844/152 is

GCF of Numerators i.e. for 954,5844 is 6

LCM of denominators i.e. for 807,152 is 122664.

Thus, GCF of Fractions is 6/122664.Finally, GCF of Fractions for 954/807, 5844/152 is 6/122664.