GCF of 710/460, 6376/574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/460, 6376/574 i.e 2/132020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/460, 6376/574.
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 710/460,6376/574?
Given fractions are 710/460,6376/574
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 710/460,6376/574, numerators are 710,6376
Denominators are 460,574
The GCF of 710,6376 is 2 .
LCM of 460,574 is 132020.
The greatest common factor of 710/460,6376/574 = [GCF of 710,6376]/[LCM of 460,574]= 2/132020
Therefore, the GCF of 710/460,6376/574 is 2/132020.
To find the highest common factor of 710,6376, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376
The HCF of 710,6376 is 2.
Lets's calculate GCF of 710,6376
| 2 | 710, 6376 |
| 355, 3188 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 710,6376 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 6376
:1,2,4,8,797,1594,3188,6376
Greatest Common Factor
We found the factors 710,6376 . The biggest common factor number is the GCF number.
So the greatest common factor 710,6376 is 2.
Lets's calculate LCM of 460,574
| 2 | 460, 574 |
| 230, 287 |
∴ So the LCM of the given numbers is 2 x 230 x 287 = 132020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132020
Therefore, the GCF of Fractions 710/460,6376/574 is 2/132020
Least Common Multiple of 460,574 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 460,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,574) x common factors =2 x 1 = 2
LCM(460,574) = ( 460 × 574 ) / 2
LCM(460,574) = 264040 / 2
LCM(460,574) = 132020
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FAQs on GCF of Fractions of 710/460, 6376/574
1. What is the HCF of 710,6376?
The HCF of 710,6376 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 710/460, 6376/574?
Answer: GCF of Numerators as per given numbers 710/460, 6376/574 is
GCF of Numerators i.e. for 710,6376 is 2
LCM of denominators i.e. for 460,574 is 132020.
Thus, GCF of Fractions is 2/132020.Finally, GCF of Fractions for 710/460, 6376/574 is 2/132020.