GCF of 7031/352, 6292/1294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7031/352, 6292/1294 i.e 1/227744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7031/352, 6292/1294.
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 7031/352,6292/1294?
Given fractions are 7031/352,6292/1294
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 7031/352,6292/1294, numerators are 7031,6292
Denominators are 352,1294
The GCF of 7031,6292 is 1 .
LCM of 352,1294 is 227744.
The greatest common factor of 7031/352,6292/1294 = [GCF of 7031,6292]/[LCM of 352,1294]= 1/227744
Therefore, the GCF of 7031/352,6292/1294 is 1/227744.
To find the highest common factor of 7031,6292, we have to find the factors of both numbers and list the highest common factor.
The factors of 7031 are 1, 79, 89, 7031
The factors of 6292 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 121, 143, 242, 286, 484, 572, 1573, 3146, 6292
The HCF of 7031,6292 is 1.
Lets's calculate GCF of 7031,6292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7031,6292 By Matching Biggest Common Factor Method
Now, list down the factors of 7031
:1,79,89,7031
Now, list down the factors of 6292
:1,2,4,11,13,22,26,44,52,121,143,242,286,484,572,1573,3146,6292
Greatest Common Factor
We found the factors 7031,6292 . The biggest common factor number is the GCF number.
So the greatest common factor 7031,6292 is 1.
Lets's calculate LCM of 352,1294
| 2 | 352, 1294 |
| 176, 647 |
∴ So the LCM of the given numbers is 2 x 176 x 647 = 227744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227744
Therefore, the GCF of Fractions 7031/352,6292/1294 is 1/227744
Least Common Multiple of 352,1294 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 352,1294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,1294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(352,1294) x common factors =2 x 1 = 2
LCM(352,1294) = ( 352 × 1294 ) / 2
LCM(352,1294) = 455488 / 2
LCM(352,1294) = 227744
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FAQs on GCF of Fractions of 7031/352, 6292/1294
1. What is the HCF of 7031,6292?
The HCF of 7031,6292 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 7031/352, 6292/1294?
Answer: GCF of Numerators as per given numbers 7031/352, 6292/1294 is
GCF of Numerators i.e. for 7031,6292 is 1
LCM of denominators i.e. for 352,1294 is 227744.
Thus, GCF of Fractions is 1/227744.Finally, GCF of Fractions for 7031/352, 6292/1294 is 1/227744.