GCF of 5639/832, 8272/641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5639/832, 8272/641 i.e 1/533312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5639/832, 8272/641.
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 5639/832,8272/641?
Given fractions are 5639/832,8272/641
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 5639/832,8272/641, numerators are 5639,8272
Denominators are 832,641
The GCF of 5639,8272 is 1 .
LCM of 832,641 is 533312.
The greatest common factor of 5639/832,8272/641 = [GCF of 5639,8272]/[LCM of 832,641]= 1/533312
Therefore, the GCF of 5639/832,8272/641 is 1/533312.
To find the highest common factor of 5639,8272, we have to find the factors of both numbers and list the highest common factor.
The factors of 5639 are 1, 5639
The factors of 8272 are 1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136, 8272
The HCF of 5639,8272 is 1.
Lets's calculate GCF of 5639,8272
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5639,8272 By Matching Biggest Common Factor Method
Now, list down the factors of 5639
:1,5639
Now, list down the factors of 8272
:1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272
Greatest Common Factor
We found the factors 5639,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 5639,8272 is 1.
Lets's calculate LCM of 832,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 533312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533312
Therefore, the GCF of Fractions 5639/832,8272/641 is 1/533312
Least Common Multiple of 832,641 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 832,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,641) x common factors =1 x 1 = 1
LCM(832,641) = ( 832 × 641 ) / 1
LCM(832,641) = 533312 / 1
LCM(832,641) = 533312
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FAQs on GCF of Fractions of 5639/832, 8272/641
1. What is the HCF of 5639,8272?
The HCF of 5639,8272 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 5639/832, 8272/641?
Answer: GCF of Numerators as per given numbers 5639/832, 8272/641 is
GCF of Numerators i.e. for 5639,8272 is 1
LCM of denominators i.e. for 832,641 is 533312.
Thus, GCF of Fractions is 1/533312.Finally, GCF of Fractions for 5639/832, 8272/641 is 1/533312.