GCF of 7718/574, 4927/9957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7718/574, 4927/9957 i.e 1/5715318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7718/574, 4927/9957.
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 7718/574,4927/9957?
Given fractions are 7718/574,4927/9957
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 7718/574,4927/9957, numerators are 7718,4927
Denominators are 574,9957
The GCF of 7718,4927 is 1 .
LCM of 574,9957 is 5715318.
The greatest common factor of 7718/574,4927/9957 = [GCF of 7718,4927]/[LCM of 574,9957]= 1/5715318
Therefore, the GCF of 7718/574,4927/9957 is 1/5715318.
To find the highest common factor of 7718,4927, we have to find the factors of both numbers and list the highest common factor.
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The factors of 4927 are 1, 13, 379, 4927
The HCF of 7718,4927 is 1.
Lets's calculate GCF of 7718,4927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7718,4927 By Matching Biggest Common Factor Method
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Now, list down the factors of 4927
:1,13,379,4927
Greatest Common Factor
We found the factors 7718,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 7718,4927 is 1.
Lets's calculate LCM of 574,9957
Given numbers has no common factors except 1. So, there LCM is their product i.e 5715318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5715318
Therefore, the GCF of Fractions 7718/574,4927/9957 is 1/5715318
Least Common Multiple of 574,9957 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 574,9957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,9957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(574,9957) x common factors =1 x 1 = 1
LCM(574,9957) = ( 574 × 9957 ) / 1
LCM(574,9957) = 5715318 / 1
LCM(574,9957) = 5715318
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FAQs on GCF of Fractions of 7718/574, 4927/9957
1. What is the HCF of 7718,4927?
The HCF of 7718,4927 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 7718/574, 4927/9957?
Answer: GCF of Numerators as per given numbers 7718/574, 4927/9957 is
GCF of Numerators i.e. for 7718,4927 is 1
LCM of denominators i.e. for 574,9957 is 5715318.
Thus, GCF of Fractions is 1/5715318.Finally, GCF of Fractions for 7718/574, 4927/9957 is 1/5715318.