GCF of 4982/254, 9927/813
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4982/254, 9927/813 i.e 1/206502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4982/254, 9927/813.
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 4982/254,9927/813?
Given fractions are 4982/254,9927/813
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 4982/254,9927/813, numerators are 4982,9927
Denominators are 254,813
The GCF of 4982,9927 is 1 .
LCM of 254,813 is 206502.
The greatest common factor of 4982/254,9927/813 = [GCF of 4982,9927]/[LCM of 254,813]= 1/206502
Therefore, the GCF of 4982/254,9927/813 is 1/206502.
To find the highest common factor of 4982,9927, we have to find the factors of both numbers and list the highest common factor.
The factors of 4982 are 1, 2, 47, 53, 94, 106, 2491, 4982
The factors of 9927 are 1, 3, 9, 1103, 3309, 9927
The HCF of 4982,9927 is 1.
Lets's calculate GCF of 4982,9927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4982,9927 By Matching Biggest Common Factor Method
Now, list down the factors of 4982
:1,2,47,53,94,106,2491,4982
Now, list down the factors of 9927
:1,3,9,1103,3309,9927
Greatest Common Factor
We found the factors 4982,9927 . The biggest common factor number is the GCF number.
So the greatest common factor 4982,9927 is 1.
Lets's calculate LCM of 254,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 206502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206502
Therefore, the GCF of Fractions 4982/254,9927/813 is 1/206502
Least Common Multiple of 254,813 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 254,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,813) x common factors =1 x 1 = 1
LCM(254,813) = ( 254 × 813 ) / 1
LCM(254,813) = 206502 / 1
LCM(254,813) = 206502
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FAQs on GCF of Fractions of 4982/254, 9927/813
1. What is the HCF of 4982,9927?
The HCF of 4982,9927 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 4982/254, 9927/813?
Answer: GCF of Numerators as per given numbers 4982/254, 9927/813 is
GCF of Numerators i.e. for 4982,9927 is 1
LCM of denominators i.e. for 254,813 is 206502.
Thus, GCF of Fractions is 1/206502.Finally, GCF of Fractions for 4982/254, 9927/813 is 1/206502.