GCF of 3102/774, 7007/2013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3102/774, 7007/2013 i.e 11/519354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3102/774, 7007/2013.
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 3102/774,7007/2013?
Given fractions are 3102/774,7007/2013
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 3102/774,7007/2013, numerators are 3102,7007
Denominators are 774,2013
The GCF of 3102,7007 is 11 .
LCM of 774,2013 is 519354.
The greatest common factor of 3102/774,7007/2013 = [GCF of 3102,7007]/[LCM of 774,2013]= 11/519354
Therefore, the GCF of 3102/774,7007/2013 is 11/519354.
To find the highest common factor of 3102,7007, we have to find the factors of both numbers and list the highest common factor.
The factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The HCF of 3102,7007 is 11.
Lets's calculate GCF of 3102,7007
| 11 | 3102, 7007 |
| 282, 637 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3102,7007 By Matching Biggest Common Factor Method
Now, list down the factors of 3102
:1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 3102,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 3102,7007 is 11.
Lets's calculate LCM of 774,2013
| 3 | 774, 2013 |
| 258, 671 |
∴ So the LCM of the given numbers is 3 x 258 x 671 = 519354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/519354
Therefore, the GCF of Fractions 3102/774,7007/2013 is 11/519354
Least Common Multiple of 774,2013 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 774,2013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,2013) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(774,2013) x common factors =3 x 1 = 3
LCM(774,2013) = ( 774 × 2013 ) / 3
LCM(774,2013) = 1558062 / 3
LCM(774,2013) = 519354
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FAQs on GCF of Fractions of 3102/774, 7007/2013
1. What is the HCF of 3102,7007?
The HCF of 3102,7007 is 11
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 3102/774, 7007/2013?
Answer: GCF of Numerators as per given numbers 3102/774, 7007/2013 is
GCF of Numerators i.e. for 3102,7007 is 11
LCM of denominators i.e. for 774,2013 is 519354.
Thus, GCF of Fractions is 11/519354.Finally, GCF of Fractions for 3102/774, 7007/2013 is 11/519354.