GCF of 8532/991, 5351/4985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8532/991, 5351/4985 i.e 1/4940135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8532/991, 5351/4985.
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 8532/991,5351/4985?
Given fractions are 8532/991,5351/4985
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 8532/991,5351/4985, numerators are 8532,5351
Denominators are 991,4985
The GCF of 8532,5351 is 1 .
LCM of 991,4985 is 4940135.
The greatest common factor of 8532/991,5351/4985 = [GCF of 8532,5351]/[LCM of 991,4985]= 1/4940135
Therefore, the GCF of 8532/991,5351/4985 is 1/4940135.
To find the highest common factor of 8532,5351, we have to find the factors of both numbers and list the highest common factor.
The factors of 8532 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 79, 108, 158, 237, 316, 474, 711, 948, 1422, 2133, 2844, 4266, 8532
The factors of 5351 are 1, 5351
The HCF of 8532,5351 is 1.
Lets's calculate GCF of 8532,5351
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8532,5351 By Matching Biggest Common Factor Method
Now, list down the factors of 8532
:1,2,3,4,6,9,12,18,27,36,54,79,108,158,237,316,474,711,948,1422,2133,2844,4266,8532
Now, list down the factors of 5351
:1,5351
Greatest Common Factor
We found the factors 8532,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 8532,5351 is 1.
Lets's calculate LCM of 991,4985
Given numbers has no common factors except 1. So, there LCM is their product i.e 4940135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4940135
Therefore, the GCF of Fractions 8532/991,5351/4985 is 1/4940135
Least Common Multiple of 991,4985 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 991,4985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,4985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,4985) x common factors =1 x 1 = 1
LCM(991,4985) = ( 991 × 4985 ) / 1
LCM(991,4985) = 4940135 / 1
LCM(991,4985) = 4940135
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FAQs on GCF of Fractions of 8532/991, 5351/4985
1. What is the HCF of 8532,5351?
The HCF of 8532,5351 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 8532/991, 5351/4985?
Answer: GCF of Numerators as per given numbers 8532/991, 5351/4985 is
GCF of Numerators i.e. for 8532,5351 is 1
LCM of denominators i.e. for 991,4985 is 4940135.
Thus, GCF of Fractions is 1/4940135.Finally, GCF of Fractions for 8532/991, 5351/4985 is 1/4940135.