GCF of 856/89, 316/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 856/89, 316/910 i.e 4/80990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 856/89, 316/910.
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 856/89,316/910?
Given fractions are 856/89,316/910
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 856/89,316/910, numerators are 856,316
Denominators are 89,910
The GCF of 856,316 is 4 .
LCM of 89,910 is 80990.
The greatest common factor of 856/89,316/910 = [GCF of 856,316]/[LCM of 89,910]= 4/80990
Therefore, the GCF of 856/89,316/910 is 4/80990.
To find the highest common factor of 856,316, we have to find the factors of both numbers and list the highest common factor.
The factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856
The factors of 316 are 1, 2, 4, 79, 158, 316
The HCF of 856,316 is 4.
Lets's calculate GCF of 856,316
| 2 | 856, 316 |
| 2 | 428, 158 |
| 214, 79 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 856,316 By Matching Biggest Common Factor Method
Now, list down the factors of 856
:1,2,4,8,107,214,428,856
Now, list down the factors of 316
:1,2,4,79,158,316
Greatest Common Factor
We found the factors 856,316 . The biggest common factor number is the GCF number.
So the greatest common factor 856,316 is 4.
Lets's calculate LCM of 89,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 80990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/80990
Therefore, the GCF of Fractions 856/89,316/910 is 4/80990
Least Common Multiple of 89,910 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 89,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,910) x common factors =1 x 1 = 1
LCM(89,910) = ( 89 × 910 ) / 1
LCM(89,910) = 80990 / 1
LCM(89,910) = 80990
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FAQs on GCF of Fractions of 856/89, 316/910
1. What is the HCF of 856,316?
The HCF of 856,316 is 4
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 856/89, 316/910?
Answer: GCF of Numerators as per given numbers 856/89, 316/910 is
GCF of Numerators i.e. for 856,316 is 4
LCM of denominators i.e. for 89,910 is 80990.
Thus, GCF of Fractions is 4/80990.Finally, GCF of Fractions for 856/89, 316/910 is 4/80990.