GCF of 4921/167, 8762/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4921/167, 8762/759 i.e 1/126753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4921/167, 8762/759.
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 4921/167,8762/759?
Given fractions are 4921/167,8762/759
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 4921/167,8762/759, numerators are 4921,8762
Denominators are 167,759
The GCF of 4921,8762 is 1 .
LCM of 167,759 is 126753.
The greatest common factor of 4921/167,8762/759 = [GCF of 4921,8762]/[LCM of 167,759]= 1/126753
Therefore, the GCF of 4921/167,8762/759 is 1/126753.
To find the highest common factor of 4921,8762, we have to find the factors of both numbers and list the highest common factor.
The factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921
The factors of 8762 are 1, 2, 13, 26, 337, 674, 4381, 8762
The HCF of 4921,8762 is 1.
Lets's calculate GCF of 4921,8762
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4921,8762 By Matching Biggest Common Factor Method
Now, list down the factors of 4921
:1,7,19,37,133,259,703,4921
Now, list down the factors of 8762
:1,2,13,26,337,674,4381,8762
Greatest Common Factor
We found the factors 4921,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 4921,8762 is 1.
Lets's calculate LCM of 167,759
Given numbers has no common factors except 1. So, there LCM is their product i.e 126753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126753
Therefore, the GCF of Fractions 4921/167,8762/759 is 1/126753
Least Common Multiple of 167,759 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 167,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,759) x common factors =1 x 1 = 1
LCM(167,759) = ( 167 × 759 ) / 1
LCM(167,759) = 126753 / 1
LCM(167,759) = 126753
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FAQs on GCF of Fractions of 4921/167, 8762/759
1. What is the HCF of 4921,8762?
The HCF of 4921,8762 is 1
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 4921/167, 8762/759?
Answer: GCF of Numerators as per given numbers 4921/167, 8762/759 is
GCF of Numerators i.e. for 4921,8762 is 1
LCM of denominators i.e. for 167,759 is 126753.
Thus, GCF of Fractions is 1/126753.Finally, GCF of Fractions for 4921/167, 8762/759 is 1/126753.