GCF of 6316/636, 6574/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6316/636, 6574/390 i.e 2/41340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6316/636, 6574/390.
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 6316/636,6574/390?
Given fractions are 6316/636,6574/390
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 6316/636,6574/390, numerators are 6316,6574
Denominators are 636,390
The GCF of 6316,6574 is 2 .
LCM of 636,390 is 41340.
The greatest common factor of 6316/636,6574/390 = [GCF of 6316,6574]/[LCM of 636,390]= 2/41340
Therefore, the GCF of 6316/636,6574/390 is 2/41340.
To find the highest common factor of 6316,6574, 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 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574
The HCF of 6316,6574 is 2.
Lets's calculate GCF of 6316,6574
| 2 | 6316, 6574 |
| 3158, 3287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6316,6574 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 6574
:1,2,19,38,173,346,3287,6574
Greatest Common Factor
We found the factors 6316,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 6316,6574 is 2.
Lets's calculate LCM of 636,390
| 2 | 636, 390 |
| 3 | 318, 195 |
| 106, 65 |
∴ So the LCM of the given numbers is 2 x 3 x 106 x 65 = 41340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41340
Therefore, the GCF of Fractions 6316/636,6574/390 is 2/41340
Least Common Multiple of 636,390 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 636,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,390) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(636,390) x common factors =6 x 1 = 6
LCM(636,390) = ( 636 × 390 ) / 6
LCM(636,390) = 248040 / 6
LCM(636,390) = 41340
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FAQs on GCF of Fractions of 6316/636, 6574/390
1. What is the HCF of 6316,6574?
The HCF of 6316,6574 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 6316/636, 6574/390?
Answer: GCF of Numerators as per given numbers 6316/636, 6574/390 is
GCF of Numerators i.e. for 6316,6574 is 2
LCM of denominators i.e. for 636,390 is 41340.
Thus, GCF of Fractions is 2/41340.Finally, GCF of Fractions for 6316/636, 6574/390 is 2/41340.