GCF of 8855/631, 1088/852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8855/631, 1088/852 i.e 1/537612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8855/631, 1088/852.
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 8855/631,1088/852?
Given fractions are 8855/631,1088/852
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 8855/631,1088/852, numerators are 8855,1088
Denominators are 631,852
The GCF of 8855,1088 is 1 .
LCM of 631,852 is 537612.
The greatest common factor of 8855/631,1088/852 = [GCF of 8855,1088]/[LCM of 631,852]= 1/537612
Therefore, the GCF of 8855/631,1088/852 is 1/537612.
To find the highest common factor of 8855,1088, we have to find the factors of both numbers and list the highest common factor.
The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855
The factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
The HCF of 8855,1088 is 1.
Lets's calculate GCF of 8855,1088
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8855,1088 By Matching Biggest Common Factor Method
Now, list down the factors of 8855
:1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Now, list down the factors of 1088
:1,2,4,8,16,17,32,34,64,68,136,272,544,1088
Greatest Common Factor
We found the factors 8855,1088 . The biggest common factor number is the GCF number.
So the greatest common factor 8855,1088 is 1.
Lets's calculate LCM of 631,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 537612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537612
Therefore, the GCF of Fractions 8855/631,1088/852 is 1/537612
Least Common Multiple of 631,852 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 631,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,852) x common factors =1 x 1 = 1
LCM(631,852) = ( 631 × 852 ) / 1
LCM(631,852) = 537612 / 1
LCM(631,852) = 537612
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FAQs on GCF of Fractions of 8855/631, 1088/852
1. What is the HCF of 8855,1088?
The HCF of 8855,1088 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 8855/631, 1088/852?
Answer: GCF of Numerators as per given numbers 8855/631, 1088/852 is
GCF of Numerators i.e. for 8855,1088 is 1
LCM of denominators i.e. for 631,852 is 537612.
Thus, GCF of Fractions is 1/537612.Finally, GCF of Fractions for 8855/631, 1088/852 is 1/537612.