GCF of 88/37, 854/89, 916/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 88/37, 854/89, 916/789 i.e 2/2598177 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/37, 854/89, 916/789.
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 88/37,854/89,916/789?
Given fractions are 88/37,854/89,916/789
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 88/37,854/89,916/789, numerators are 88,854,916
Denominators are 37,89,789
The GCF of 88,854,916 is 2 .
LCM of 37,89,789 is 2598177.
The greatest common factor of 88/37,854/89,916/789 = [GCF of 88,854,916]/[LCM of 37,89,789]= 2/2598177
Therefore, the GCF of 88/37,854/89,916/789 is 2/2598177.
To find the highest common factor of 88,854,916, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854
The factors of 916 are 1, 2, 4, 229, 458, 916
The HCF of 88,854,916 is 2.
Lets's calculate GCF of 88,854,916
| 2 | 88, 854, 916 |
| 44, 427, 458 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 88,854,916 By Matching Biggest Common Factor Method
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 854
:1,2,7,14,61,122,427,854
Now, list down the factors of 916
:1,2,4,229,458,916
Greatest Common Factor
We found the factors 88,854,916 . The biggest common factor number is the GCF number.
So the greatest common factor 88,854,916 is 2.
Lets's calculate LCM of 37,89,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 2598177
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2598177
Therefore, the GCF of Fractions 88/37,854/89,916/789 is 2/2598177
Least Common Multiple of 37,89,789 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 37,89,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,89,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,89,789) x common factors =1 x 1 = 1
LCM(37,89,789) = ( 37 × 89 × 789 ) / 1
LCM(37,89,789) = 2598177 / 1
LCM(37,89,789) = 2598177
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FAQs on GCF of Fractions of 88/37, 854/89, 916/789
1. What is the HCF of 88,854,916?
The HCF of 88,854,916 is 2
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 88/37, 854/89, 916/789?
Answer: GCF of Numerators as per given numbers 88/37, 854/89, 916/789 is
GCF of Numerators i.e. for 88,854,916 is 2
LCM of denominators i.e. for 37,89,789 is 2598177.
Thus, GCF of Fractions is 2/2598177.Finally, GCF of Fractions for 88/37, 854/89, 916/789 is 2/2598177.