GCF of 861/902, 646/253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 861/902, 646/253 i.e 1/20746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 861/902, 646/253.
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 861/902,646/253?
Given fractions are 861/902,646/253
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 861/902,646/253, numerators are 861,646
Denominators are 902,253
The GCF of 861,646 is 1 .
LCM of 902,253 is 20746.
The greatest common factor of 861/902,646/253 = [GCF of 861,646]/[LCM of 902,253]= 1/20746
Therefore, the GCF of 861/902,646/253 is 1/20746.
To find the highest common factor of 861,646, we have to find the factors of both numbers and list the highest common factor.
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The HCF of 861,646 is 1.
Lets's calculate GCF of 861,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 861,646 By Matching Biggest Common Factor Method
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 861,646 . The biggest common factor number is the GCF number.
So the greatest common factor 861,646 is 1.
Lets's calculate LCM of 902,253
| 11 | 902, 253 |
| 82, 23 |
∴ So the LCM of the given numbers is 11 x 82 x 23 = 20746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20746
Therefore, the GCF of Fractions 861/902,646/253 is 1/20746
Least Common Multiple of 902,253 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 902,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,253) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(902,253) x common factors =11 x 1 = 11
LCM(902,253) = ( 902 × 253 ) / 11
LCM(902,253) = 228206 / 11
LCM(902,253) = 20746
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FAQs on GCF of Fractions of 861/902, 646/253
1. What is the HCF of 861,646?
The HCF of 861,646 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 861/902, 646/253?
Answer: GCF of Numerators as per given numbers 861/902, 646/253 is
GCF of Numerators i.e. for 861,646 is 1
LCM of denominators i.e. for 902,253 is 20746.
Thus, GCF of Fractions is 1/20746.Finally, GCF of Fractions for 861/902, 646/253 is 1/20746.