GCF of 811/612, 971/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 811/612, 971/674 i.e 1/206244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 811/612, 971/674.
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 811/612,971/674?
Given fractions are 811/612,971/674
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 811/612,971/674, numerators are 811,971
Denominators are 612,674
The GCF of 811,971 is 1 .
LCM of 612,674 is 206244.
The greatest common factor of 811/612,971/674 = [GCF of 811,971]/[LCM of 612,674]= 1/206244
Therefore, the GCF of 811/612,971/674 is 1/206244.
To find the highest common factor of 811,971, we have to find the factors of both numbers and list the highest common factor.
The factors of 811 are 1, 811
The factors of 971 are 1, 971
The HCF of 811,971 is 1.
Lets's calculate GCF of 811,971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 811,971 By Matching Biggest Common Factor Method
Now, list down the factors of 811
:1,811
Now, list down the factors of 971
:1,971
Greatest Common Factor
We found the factors 811,971 . The biggest common factor number is the GCF number.
So the greatest common factor 811,971 is 1.
Lets's calculate LCM of 612,674
| 2 | 612, 674 |
| 306, 337 |
∴ So the LCM of the given numbers is 2 x 306 x 337 = 206244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206244
Therefore, the GCF of Fractions 811/612,971/674 is 1/206244
Least Common Multiple of 612,674 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 612,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,674) x common factors =2 x 1 = 2
LCM(612,674) = ( 612 × 674 ) / 2
LCM(612,674) = 412488 / 2
LCM(612,674) = 206244
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FAQs on GCF of Fractions of 811/612, 971/674
1. What is the HCF of 811,971?
The HCF of 811,971 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 811/612, 971/674?
Answer: GCF of Numerators as per given numbers 811/612, 971/674 is
GCF of Numerators i.e. for 811,971 is 1
LCM of denominators i.e. for 612,674 is 206244.
Thus, GCF of Fractions is 1/206244.Finally, GCF of Fractions for 811/612, 971/674 is 1/206244.