GCF of 5137/907, 3888/8759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5137/907, 3888/8759 i.e 1/7944413 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5137/907, 3888/8759.
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 5137/907,3888/8759?
Given fractions are 5137/907,3888/8759
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 5137/907,3888/8759, numerators are 5137,3888
Denominators are 907,8759
The GCF of 5137,3888 is 1 .
LCM of 907,8759 is 7944413.
The greatest common factor of 5137/907,3888/8759 = [GCF of 5137,3888]/[LCM of 907,8759]= 1/7944413
Therefore, the GCF of 5137/907,3888/8759 is 1/7944413.
To find the highest common factor of 5137,3888, we have to find the factors of both numbers and list the highest common factor.
The factors of 5137 are 1, 11, 467, 5137
The factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888
The HCF of 5137,3888 is 1.
Lets's calculate GCF of 5137,3888
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5137,3888 By Matching Biggest Common Factor Method
Now, list down the factors of 5137
:1,11,467,5137
Now, list down the factors of 3888
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888
Greatest Common Factor
We found the factors 5137,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 5137,3888 is 1.
Lets's calculate LCM of 907,8759
Given numbers has no common factors except 1. So, there LCM is their product i.e 7944413
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7944413
Therefore, the GCF of Fractions 5137/907,3888/8759 is 1/7944413
Least Common Multiple of 907,8759 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 907,8759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,8759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,8759) x common factors =1 x 1 = 1
LCM(907,8759) = ( 907 × 8759 ) / 1
LCM(907,8759) = 7944413 / 1
LCM(907,8759) = 7944413
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FAQs on GCF of Fractions of 5137/907, 3888/8759
1. What is the HCF of 5137,3888?
The HCF of 5137,3888 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 5137/907, 3888/8759?
Answer: GCF of Numerators as per given numbers 5137/907, 3888/8759 is
GCF of Numerators i.e. for 5137,3888 is 1
LCM of denominators i.e. for 907,8759 is 7944413.
Thus, GCF of Fractions is 1/7944413.Finally, GCF of Fractions for 5137/907, 3888/8759 is 1/7944413.