GCF of 943/747, 971/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 943/747, 971/867 i.e 1/215883 easily. The following is the detailed procedure to determine the greatest common factor of fractions 943/747, 971/867.
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 943/747,971/867?
Given fractions are 943/747,971/867
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 943/747,971/867, numerators are 943,971
Denominators are 747,867
The GCF of 943,971 is 1 .
LCM of 747,867 is 215883.
The greatest common factor of 943/747,971/867 = [GCF of 943,971]/[LCM of 747,867]= 1/215883
Therefore, the GCF of 943/747,971/867 is 1/215883.
To find the highest common factor of 943,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 943 are 1, 23, 41, 943
The factors of 971 are 1, 971
The HCF of 943,971 is 1.
Lets's calculate GCF of 943,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 943,971 By Matching Biggest Common Factor Method
Now, list down the factors of 943
:1,23,41,943
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 943,971 . The biggest common factor number is the GCF number.
So the greatest common factor 943,971 is 1.
Lets's calculate LCM of 747,867
| 3 | 747, 867 |
| 249, 289 |
∴ So the LCM of the given numbers is 3 x 249 x 289 = 215883
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215883
Therefore, the GCF of Fractions 943/747,971/867 is 1/215883
Least Common Multiple of 747,867 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 747,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,867) x common factors =3 x 1 = 3
LCM(747,867) = ( 747 × 867 ) / 3
LCM(747,867) = 647649 / 3
LCM(747,867) = 215883
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FAQs on GCF of Fractions of 943/747, 971/867
1. What is the HCF of 943,971?
The HCF of 943,971 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 943/747, 971/867?
Answer: GCF of Numerators as per given numbers 943/747, 971/867 is
GCF of Numerators i.e. for 943,971 is 1
LCM of denominators i.e. for 747,867 is 215883.
Thus, GCF of Fractions is 1/215883.Finally, GCF of Fractions for 943/747, 971/867 is 1/215883.