GCF of 715/782, 4134/7405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/782, 4134/7405 i.e 13/5790710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/782, 4134/7405.
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 715/782,4134/7405?
Given fractions are 715/782,4134/7405
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 715/782,4134/7405, numerators are 715,4134
Denominators are 782,7405
The GCF of 715,4134 is 13 .
LCM of 782,7405 is 5790710.
The greatest common factor of 715/782,4134/7405 = [GCF of 715,4134]/[LCM of 782,7405]= 13/5790710
Therefore, the GCF of 715/782,4134/7405 is 13/5790710.
To find the highest common factor of 715,4134, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 4134 are 1, 2, 3, 6, 13, 26, 39, 53, 78, 106, 159, 318, 689, 1378, 2067, 4134
The HCF of 715,4134 is 13.
Lets's calculate GCF of 715,4134
| 13 | 715, 4134 |
| 55, 318 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 715,4134 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 4134
:1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134
Greatest Common Factor
We found the factors 715,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 715,4134 is 13.
Lets's calculate LCM of 782,7405
Given numbers has no common factors except 1. So, there LCM is their product i.e 5790710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/5790710
Therefore, the GCF of Fractions 715/782,4134/7405 is 13/5790710
Least Common Multiple of 782,7405 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 782,7405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,7405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,7405) x common factors =1 x 1 = 1
LCM(782,7405) = ( 782 × 7405 ) / 1
LCM(782,7405) = 5790710 / 1
LCM(782,7405) = 5790710
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FAQs on GCF of Fractions of 715/782, 4134/7405
1. What is the HCF of 715,4134?
The HCF of 715,4134 is 13
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 715/782, 4134/7405?
Answer: GCF of Numerators as per given numbers 715/782, 4134/7405 is
GCF of Numerators i.e. for 715,4134 is 13
LCM of denominators i.e. for 782,7405 is 5790710.
Thus, GCF of Fractions is 13/5790710.Finally, GCF of Fractions for 715/782, 4134/7405 is 13/5790710.