GCF of 9875/408, 2648/6971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9875/408, 2648/6971 i.e 1/2844168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9875/408, 2648/6971.
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 9875/408,2648/6971?
Given fractions are 9875/408,2648/6971
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 9875/408,2648/6971, numerators are 9875,2648
Denominators are 408,6971
The GCF of 9875,2648 is 1 .
LCM of 408,6971 is 2844168.
The greatest common factor of 9875/408,2648/6971 = [GCF of 9875,2648]/[LCM of 408,6971]= 1/2844168
Therefore, the GCF of 9875/408,2648/6971 is 1/2844168.
To find the highest common factor of 9875,2648, we have to find the factors of both numbers and list the highest common factor.
The factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875
The factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648
The HCF of 9875,2648 is 1.
Lets's calculate GCF of 9875,2648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9875,2648 By Matching Biggest Common Factor Method
Now, list down the factors of 9875
:1,5,25,79,125,395,1975,9875
Now, list down the factors of 2648
:1,2,4,8,331,662,1324,2648
Greatest Common Factor
We found the factors 9875,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 9875,2648 is 1.
Lets's calculate LCM of 408,6971
Given numbers has no common factors except 1. So, there LCM is their product i.e 2844168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2844168
Therefore, the GCF of Fractions 9875/408,2648/6971 is 1/2844168
Least Common Multiple of 408,6971 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 408,6971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,6971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,6971) x common factors =1 x 1 = 1
LCM(408,6971) = ( 408 × 6971 ) / 1
LCM(408,6971) = 2844168 / 1
LCM(408,6971) = 2844168
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FAQs on GCF of Fractions of 9875/408, 2648/6971
1. What is the HCF of 9875,2648?
The HCF of 9875,2648 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 9875/408, 2648/6971?
Answer: GCF of Numerators as per given numbers 9875/408, 2648/6971 is
GCF of Numerators i.e. for 9875,2648 is 1
LCM of denominators i.e. for 408,6971 is 2844168.
Thus, GCF of Fractions is 1/2844168.Finally, GCF of Fractions for 9875/408, 2648/6971 is 1/2844168.