GCF of 710/957, 6319/374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/957, 6319/374 i.e 71/32538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/957, 6319/374.
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 710/957,6319/374?
Given fractions are 710/957,6319/374
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 710/957,6319/374, numerators are 710,6319
Denominators are 957,374
The GCF of 710,6319 is 71 .
LCM of 957,374 is 32538.
The greatest common factor of 710/957,6319/374 = [GCF of 710,6319]/[LCM of 957,374]= 71/32538
Therefore, the GCF of 710/957,6319/374 is 71/32538.
To find the highest common factor of 710,6319, 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 6319 are 1, 71, 89, 6319
The HCF of 710,6319 is 71.
Lets's calculate GCF of 710,6319
| 71 | 710, 6319 |
| 10, 89 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 710,6319 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 6319
:1,71,89,6319
Greatest Common Factor
We found the factors 710,6319 . The biggest common factor number is the GCF number.
So the greatest common factor 710,6319 is 71.
Lets's calculate LCM of 957,374
| 11 | 957, 374 |
| 87, 34 |
∴ So the LCM of the given numbers is 11 x 87 x 34 = 32538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/32538
Therefore, the GCF of Fractions 710/957,6319/374 is 71/32538
Least Common Multiple of 957,374 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 957,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,374) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(957,374) x common factors =11 x 1 = 11
LCM(957,374) = ( 957 × 374 ) / 11
LCM(957,374) = 357918 / 11
LCM(957,374) = 32538
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FAQs on GCF of Fractions of 710/957, 6319/374
1. What is the HCF of 710,6319?
The HCF of 710,6319 is 71
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 710/957, 6319/374?
Answer: GCF of Numerators as per given numbers 710/957, 6319/374 is
GCF of Numerators i.e. for 710,6319 is 71
LCM of denominators i.e. for 957,374 is 32538.
Thus, GCF of Fractions is 71/32538.Finally, GCF of Fractions for 710/957, 6319/374 is 71/32538.