GCF of 911/58, 837/456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 911/58, 837/456 i.e 1/13224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 911/58, 837/456.
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 911/58,837/456?
Given fractions are 911/58,837/456
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 911/58,837/456, numerators are 911,837
Denominators are 58,456
The GCF of 911,837 is 1 .
LCM of 58,456 is 13224.
The greatest common factor of 911/58,837/456 = [GCF of 911,837]/[LCM of 58,456]= 1/13224
Therefore, the GCF of 911/58,837/456 is 1/13224.
To find the highest common factor of 911,837, we have to find the factors of both numbers and list the highest common factor.
The factors of 911 are 1, 911
The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837
The HCF of 911,837 is 1.
Lets's calculate GCF of 911,837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 911,837 By Matching Biggest Common Factor Method
Now, list down the factors of 911
:1,911
Now, list down the factors of 837
:1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 911,837 . The biggest common factor number is the GCF number.
So the greatest common factor 911,837 is 1.
Lets's calculate LCM of 58,456
| 2 | 58, 456 |
| 29, 228 |
∴ So the LCM of the given numbers is 2 x 29 x 228 = 13224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13224
Therefore, the GCF of Fractions 911/58,837/456 is 1/13224
Least Common Multiple of 58,456 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 58,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,456) x common factors =2 x 1 = 2
LCM(58,456) = ( 58 × 456 ) / 2
LCM(58,456) = 26448 / 2
LCM(58,456) = 13224
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FAQs on GCF of Fractions of 911/58, 837/456
1. What is the HCF of 911,837?
The HCF of 911,837 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 911/58, 837/456?
Answer: GCF of Numerators as per given numbers 911/58, 837/456 is
GCF of Numerators i.e. for 911,837 is 1
LCM of denominators i.e. for 58,456 is 13224.
Thus, GCF of Fractions is 1/13224.Finally, GCF of Fractions for 911/58, 837/456 is 1/13224.