GCF of 547/77, 875/3657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 547/77, 875/3657 i.e 1/281589 easily. The following is the detailed procedure to determine the greatest common factor of fractions 547/77, 875/3657.
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 547/77,875/3657?
Given fractions are 547/77,875/3657
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 547/77,875/3657, numerators are 547,875
Denominators are 77,3657
The GCF of 547,875 is 1 .
LCM of 77,3657 is 281589.
The greatest common factor of 547/77,875/3657 = [GCF of 547,875]/[LCM of 77,3657]= 1/281589
Therefore, the GCF of 547/77,875/3657 is 1/281589.
To find the highest common factor of 547,875, we have to find the factors of both numbers and list the highest common factor.
The factors of 547 are 1, 547
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The HCF of 547,875 is 1.
Lets's calculate GCF of 547,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 547,875 By Matching Biggest Common Factor Method
Now, list down the factors of 547
:1,547
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 547,875 . The biggest common factor number is the GCF number.
So the greatest common factor 547,875 is 1.
Lets's calculate LCM of 77,3657
Given numbers has no common factors except 1. So, there LCM is their product i.e 281589
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281589
Therefore, the GCF of Fractions 547/77,875/3657 is 1/281589
Least Common Multiple of 77,3657 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 77,3657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3657) x common factors =1 x 1 = 1
LCM(77,3657) = ( 77 × 3657 ) / 1
LCM(77,3657) = 281589 / 1
LCM(77,3657) = 281589
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FAQs on GCF of Fractions of 547/77, 875/3657
1. What is the HCF of 547,875?
The HCF of 547,875 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 547/77, 875/3657?
Answer: GCF of Numerators as per given numbers 547/77, 875/3657 is
GCF of Numerators i.e. for 547,875 is 1
LCM of denominators i.e. for 77,3657 is 281589.
Thus, GCF of Fractions is 1/281589.Finally, GCF of Fractions for 547/77, 875/3657 is 1/281589.