GCF of 7865/117, 6490/773
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7865/117, 6490/773 i.e 55/90441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7865/117, 6490/773.
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 7865/117,6490/773?
Given fractions are 7865/117,6490/773
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 7865/117,6490/773, numerators are 7865,6490
Denominators are 117,773
The GCF of 7865,6490 is 55 .
LCM of 117,773 is 90441.
The greatest common factor of 7865/117,6490/773 = [GCF of 7865,6490]/[LCM of 117,773]= 55/90441
Therefore, the GCF of 7865/117,6490/773 is 55/90441.
To find the highest common factor of 7865,6490, we have to find the factors of both numbers and list the highest common factor.
The factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865
The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490
The HCF of 7865,6490 is 55.
Lets's calculate GCF of 7865,6490
| 5 | 7865, 6490 |
| 11 | 1573, 1298 |
| 143, 118 |
∴ So the GCF of the given numbers is 5 x 11 = 55
Greatest Common Factor of 7865,6490 By Matching Biggest Common Factor Method
Now, list down the factors of 7865
:1,5,11,13,55,65,121,143,605,715,1573,7865
Now, list down the factors of 6490
:1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 7865,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 7865,6490 is 55.
Lets's calculate LCM of 117,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 90441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 55/90441
Therefore, the GCF of Fractions 7865/117,6490/773 is 55/90441
Least Common Multiple of 117,773 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 117,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,773) x common factors =1 x 1 = 1
LCM(117,773) = ( 117 × 773 ) / 1
LCM(117,773) = 90441 / 1
LCM(117,773) = 90441
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FAQs on GCF of Fractions of 7865/117, 6490/773
1. What is the HCF of 7865,6490?
The HCF of 7865,6490 is 55
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 7865/117, 6490/773?
Answer: GCF of Numerators as per given numbers 7865/117, 6490/773 is
GCF of Numerators i.e. for 7865,6490 is 55
LCM of denominators i.e. for 117,773 is 90441.
Thus, GCF of Fractions is 55/90441.Finally, GCF of Fractions for 7865/117, 6490/773 is 55/90441.