GCF of 8963/502, 9690/7024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8963/502, 9690/7024 i.e 1/1763024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8963/502, 9690/7024.
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 8963/502,9690/7024?
Given fractions are 8963/502,9690/7024
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 8963/502,9690/7024, numerators are 8963,9690
Denominators are 502,7024
The GCF of 8963,9690 is 1 .
LCM of 502,7024 is 1763024.
The greatest common factor of 8963/502,9690/7024 = [GCF of 8963,9690]/[LCM of 502,7024]= 1/1763024
Therefore, the GCF of 8963/502,9690/7024 is 1/1763024.
To find the highest common factor of 8963,9690, we have to find the factors of both numbers and list the highest common factor.
The factors of 8963 are 1, 8963
The factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690
The HCF of 8963,9690 is 1.
Lets's calculate GCF of 8963,9690
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8963,9690 By Matching Biggest Common Factor Method
Now, list down the factors of 8963
:1,8963
Now, list down the factors of 9690
:1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690
Greatest Common Factor
We found the factors 8963,9690 . The biggest common factor number is the GCF number.
So the greatest common factor 8963,9690 is 1.
Lets's calculate LCM of 502,7024
| 2 | 502, 7024 |
| 251, 3512 |
∴ So the LCM of the given numbers is 2 x 251 x 3512 = 1763024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1763024
Therefore, the GCF of Fractions 8963/502,9690/7024 is 1/1763024
Least Common Multiple of 502,7024 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 502,7024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,7024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(502,7024) x common factors =2 x 1 = 2
LCM(502,7024) = ( 502 × 7024 ) / 2
LCM(502,7024) = 3526048 / 2
LCM(502,7024) = 1763024
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FAQs on GCF of Fractions of 8963/502, 9690/7024
1. What is the HCF of 8963,9690?
The HCF of 8963,9690 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 8963/502, 9690/7024?
Answer: GCF of Numerators as per given numbers 8963/502, 9690/7024 is
GCF of Numerators i.e. for 8963,9690 is 1
LCM of denominators i.e. for 502,7024 is 1763024.
Thus, GCF of Fractions is 1/1763024.Finally, GCF of Fractions for 8963/502, 9690/7024 is 1/1763024.