GCF of 6502/779, 6888/7319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6502/779, 6888/7319 i.e 2/5701501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6502/779, 6888/7319.
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 6502/779,6888/7319?
Given fractions are 6502/779,6888/7319
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 6502/779,6888/7319, numerators are 6502,6888
Denominators are 779,7319
The GCF of 6502,6888 is 2 .
LCM of 779,7319 is 5701501.
The greatest common factor of 6502/779,6888/7319 = [GCF of 6502,6888]/[LCM of 779,7319]= 2/5701501
Therefore, the GCF of 6502/779,6888/7319 is 2/5701501.
To find the highest common factor of 6502,6888, we have to find the factors of both numbers and list the highest common factor.
The factors of 6502 are 1, 2, 3251, 6502
The factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888
The HCF of 6502,6888 is 2.
Lets's calculate GCF of 6502,6888
| 2 | 6502, 6888 |
| 3251, 3444 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6502,6888 By Matching Biggest Common Factor Method
Now, list down the factors of 6502
:1,2,3251,6502
Now, list down the factors of 6888
:1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888
Greatest Common Factor
We found the factors 6502,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 6502,6888 is 2.
Lets's calculate LCM of 779,7319
Given numbers has no common factors except 1. So, there LCM is their product i.e 5701501
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5701501
Therefore, the GCF of Fractions 6502/779,6888/7319 is 2/5701501
Least Common Multiple of 779,7319 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 779,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,7319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,7319) x common factors =1 x 1 = 1
LCM(779,7319) = ( 779 × 7319 ) / 1
LCM(779,7319) = 5701501 / 1
LCM(779,7319) = 5701501
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FAQs on GCF of Fractions of 6502/779, 6888/7319
1. What is the HCF of 6502,6888?
The HCF of 6502,6888 is 2
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 6502/779, 6888/7319?
Answer: GCF of Numerators as per given numbers 6502/779, 6888/7319 is
GCF of Numerators i.e. for 6502,6888 is 2
LCM of denominators i.e. for 779,7319 is 5701501.
Thus, GCF of Fractions is 2/5701501.Finally, GCF of Fractions for 6502/779, 6888/7319 is 2/5701501.