GCF of 8779/774, 7677/7262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8779/774, 7677/7262 i.e 1/2810394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8779/774, 7677/7262.
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 8779/774,7677/7262?
Given fractions are 8779/774,7677/7262
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 8779/774,7677/7262, numerators are 8779,7677
Denominators are 774,7262
The GCF of 8779,7677 is 1 .
LCM of 774,7262 is 2810394.
The greatest common factor of 8779/774,7677/7262 = [GCF of 8779,7677]/[LCM of 774,7262]= 1/2810394
Therefore, the GCF of 8779/774,7677/7262 is 1/2810394.
To find the highest common factor of 8779,7677, we have to find the factors of both numbers and list the highest common factor.
The factors of 8779 are 1, 8779
The factors of 7677 are 1, 3, 9, 853, 2559, 7677
The HCF of 8779,7677 is 1.
Lets's calculate GCF of 8779,7677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8779,7677 By Matching Biggest Common Factor Method
Now, list down the factors of 8779
:1,8779
Now, list down the factors of 7677
:1,3,9,853,2559,7677
Greatest Common Factor
We found the factors 8779,7677 . The biggest common factor number is the GCF number.
So the greatest common factor 8779,7677 is 1.
Lets's calculate LCM of 774,7262
| 2 | 774, 7262 |
| 387, 3631 |
∴ So the LCM of the given numbers is 2 x 387 x 3631 = 2810394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2810394
Therefore, the GCF of Fractions 8779/774,7677/7262 is 1/2810394
Least Common Multiple of 774,7262 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 774,7262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,7262) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,7262) x common factors =2 x 1 = 2
LCM(774,7262) = ( 774 × 7262 ) / 2
LCM(774,7262) = 5620788 / 2
LCM(774,7262) = 2810394
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FAQs on GCF of Fractions of 8779/774, 7677/7262
1. What is the HCF of 8779,7677?
The HCF of 8779,7677 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 8779/774, 7677/7262?
Answer: GCF of Numerators as per given numbers 8779/774, 7677/7262 is
GCF of Numerators i.e. for 8779,7677 is 1
LCM of denominators i.e. for 774,7262 is 2810394.
Thus, GCF of Fractions is 1/2810394.Finally, GCF of Fractions for 8779/774, 7677/7262 is 1/2810394.