GCF of 922/86, 971/358
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/86, 971/358 i.e 1/15394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/86, 971/358.
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 922/86,971/358?
Given fractions are 922/86,971/358
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 922/86,971/358, numerators are 922,971
Denominators are 86,358
The GCF of 922,971 is 1 .
LCM of 86,358 is 15394.
The greatest common factor of 922/86,971/358 = [GCF of 922,971]/[LCM of 86,358]= 1/15394
Therefore, the GCF of 922/86,971/358 is 1/15394.
To find the highest common factor of 922,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 971 are 1, 971
The HCF of 922,971 is 1.
Lets's calculate GCF of 922,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 922,971 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 922,971 . The biggest common factor number is the GCF number.
So the greatest common factor 922,971 is 1.
Lets's calculate LCM of 86,358
| 2 | 86, 358 |
| 43, 179 |
∴ So the LCM of the given numbers is 2 x 43 x 179 = 15394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15394
Therefore, the GCF of Fractions 922/86,971/358 is 1/15394
Least Common Multiple of 86,358 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 86,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,358) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,358) x common factors =2 x 1 = 2
LCM(86,358) = ( 86 × 358 ) / 2
LCM(86,358) = 30788 / 2
LCM(86,358) = 15394
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FAQs on GCF of Fractions of 922/86, 971/358
1. What is the HCF of 922,971?
The HCF of 922,971 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 922/86, 971/358?
Answer: GCF of Numerators as per given numbers 922/86, 971/358 is
GCF of Numerators i.e. for 922,971 is 1
LCM of denominators i.e. for 86,358 is 15394.
Thus, GCF of Fractions is 1/15394.Finally, GCF of Fractions for 922/86, 971/358 is 1/15394.