GCF of 6316/677, 2690/3542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6316/677, 2690/3542 i.e 2/2397934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6316/677, 2690/3542.
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 6316/677,2690/3542?
Given fractions are 6316/677,2690/3542
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 6316/677,2690/3542, numerators are 6316,2690
Denominators are 677,3542
The GCF of 6316,2690 is 2 .
LCM of 677,3542 is 2397934.
The greatest common factor of 6316/677,2690/3542 = [GCF of 6316,2690]/[LCM of 677,3542]= 2/2397934
Therefore, the GCF of 6316/677,2690/3542 is 2/2397934.
To find the highest common factor of 6316,2690, we have to find the factors of both numbers and list the highest common factor.
The factors of 6316 are 1, 2, 4, 1579, 3158, 6316
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The HCF of 6316,2690 is 2.
Lets's calculate GCF of 6316,2690
| 2 | 6316, 2690 |
| 3158, 1345 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6316,2690 By Matching Biggest Common Factor Method
Now, list down the factors of 6316
:1,2,4,1579,3158,6316
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 6316,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 6316,2690 is 2.
Lets's calculate LCM of 677,3542
Given numbers has no common factors except 1. So, there LCM is their product i.e 2397934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2397934
Therefore, the GCF of Fractions 6316/677,2690/3542 is 2/2397934
Least Common Multiple of 677,3542 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 677,3542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,3542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,3542) x common factors =1 x 1 = 1
LCM(677,3542) = ( 677 × 3542 ) / 1
LCM(677,3542) = 2397934 / 1
LCM(677,3542) = 2397934
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FAQs on GCF of Fractions of 6316/677, 2690/3542
1. What is the HCF of 6316,2690?
The HCF of 6316,2690 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 6316/677, 2690/3542?
Answer: GCF of Numerators as per given numbers 6316/677, 2690/3542 is
GCF of Numerators i.e. for 6316,2690 is 2
LCM of denominators i.e. for 677,3542 is 2397934.
Thus, GCF of Fractions is 2/2397934.Finally, GCF of Fractions for 6316/677, 2690/3542 is 2/2397934.