GCF of 9687/774, 8853/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9687/774, 8853/302 i.e 3/116874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9687/774, 8853/302.
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 9687/774,8853/302?
Given fractions are 9687/774,8853/302
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 9687/774,8853/302, numerators are 9687,8853
Denominators are 774,302
The GCF of 9687,8853 is 3 .
LCM of 774,302 is 116874.
The greatest common factor of 9687/774,8853/302 = [GCF of 9687,8853]/[LCM of 774,302]= 3/116874
Therefore, the GCF of 9687/774,8853/302 is 3/116874.
To find the highest common factor of 9687,8853, we have to find the factors of both numbers and list the highest common factor.
The factors of 9687 are 1, 3, 3229, 9687
The factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853
The HCF of 9687,8853 is 3.
Lets's calculate GCF of 9687,8853
| 3 | 9687, 8853 |
| 3229, 2951 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9687,8853 By Matching Biggest Common Factor Method
Now, list down the factors of 9687
:1,3,3229,9687
Now, list down the factors of 8853
:1,3,13,39,227,681,2951,8853
Greatest Common Factor
We found the factors 9687,8853 . The biggest common factor number is the GCF number.
So the greatest common factor 9687,8853 is 3.
Lets's calculate LCM of 774,302
| 2 | 774, 302 |
| 387, 151 |
∴ So the LCM of the given numbers is 2 x 387 x 151 = 116874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/116874
Therefore, the GCF of Fractions 9687/774,8853/302 is 3/116874
Least Common Multiple of 774,302 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 774,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,302) x common factors =2 x 1 = 2
LCM(774,302) = ( 774 × 302 ) / 2
LCM(774,302) = 233748 / 2
LCM(774,302) = 116874
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FAQs on GCF of Fractions of 9687/774, 8853/302
1. What is the HCF of 9687,8853?
The HCF of 9687,8853 is 3
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 9687/774, 8853/302?
Answer: GCF of Numerators as per given numbers 9687/774, 8853/302 is
GCF of Numerators i.e. for 9687,8853 is 3
LCM of denominators i.e. for 774,302 is 116874.
Thus, GCF of Fractions is 3/116874.Finally, GCF of Fractions for 9687/774, 8853/302 is 3/116874.