GCF of 7030/712, 5057/7318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7030/712, 5057/7318 i.e 1/2605208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7030/712, 5057/7318.
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 7030/712,5057/7318?
Given fractions are 7030/712,5057/7318
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 7030/712,5057/7318, numerators are 7030,5057
Denominators are 712,7318
The GCF of 7030,5057 is 1 .
LCM of 712,7318 is 2605208.
The greatest common factor of 7030/712,5057/7318 = [GCF of 7030,5057]/[LCM of 712,7318]= 1/2605208
Therefore, the GCF of 7030/712,5057/7318 is 1/2605208.
To find the highest common factor of 7030,5057, we have to find the factors of both numbers and list the highest common factor.
The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030
The factors of 5057 are 1, 13, 389, 5057
The HCF of 7030,5057 is 1.
Lets's calculate GCF of 7030,5057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7030,5057 By Matching Biggest Common Factor Method
Now, list down the factors of 7030
:1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Now, list down the factors of 5057
:1,13,389,5057
Greatest Common Factor
We found the factors 7030,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 7030,5057 is 1.
Lets's calculate LCM of 712,7318
| 2 | 712, 7318 |
| 356, 3659 |
∴ So the LCM of the given numbers is 2 x 356 x 3659 = 2605208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2605208
Therefore, the GCF of Fractions 7030/712,5057/7318 is 1/2605208
Least Common Multiple of 712,7318 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 712,7318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,7318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,7318) x common factors =2 x 1 = 2
LCM(712,7318) = ( 712 × 7318 ) / 2
LCM(712,7318) = 5210416 / 2
LCM(712,7318) = 2605208
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FAQs on GCF of Fractions of 7030/712, 5057/7318
1. What is the HCF of 7030,5057?
The HCF of 7030,5057 is 1
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 7030/712, 5057/7318?
Answer: GCF of Numerators as per given numbers 7030/712, 5057/7318 is
GCF of Numerators i.e. for 7030,5057 is 1
LCM of denominators i.e. for 712,7318 is 2605208.
Thus, GCF of Fractions is 1/2605208.Finally, GCF of Fractions for 7030/712, 5057/7318 is 1/2605208.