GCF of 7610/357, 2715/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7610/357, 2715/742 i.e 5/37842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7610/357, 2715/742.
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 7610/357,2715/742?
Given fractions are 7610/357,2715/742
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 7610/357,2715/742, numerators are 7610,2715
Denominators are 357,742
The GCF of 7610,2715 is 5 .
LCM of 357,742 is 37842.
The greatest common factor of 7610/357,2715/742 = [GCF of 7610,2715]/[LCM of 357,742]= 5/37842
Therefore, the GCF of 7610/357,2715/742 is 5/37842.
To find the highest common factor of 7610,2715, we have to find the factors of both numbers and list the highest common factor.
The factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610
The factors of 2715 are 1, 3, 5, 15, 181, 543, 905, 2715
The HCF of 7610,2715 is 5.
Lets's calculate GCF of 7610,2715
| 5 | 7610, 2715 |
| 1522, 543 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7610,2715 By Matching Biggest Common Factor Method
Now, list down the factors of 7610
:1,2,5,10,761,1522,3805,7610
Now, list down the factors of 2715
:1,3,5,15,181,543,905,2715
Greatest Common Factor
We found the factors 7610,2715 . The biggest common factor number is the GCF number.
So the greatest common factor 7610,2715 is 5.
Lets's calculate LCM of 357,742
| 7 | 357, 742 |
| 51, 106 |
∴ So the LCM of the given numbers is 7 x 51 x 106 = 37842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37842
Therefore, the GCF of Fractions 7610/357,2715/742 is 5/37842
Least Common Multiple of 357,742 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 357,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,742) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,742) x common factors =7 x 1 = 7
LCM(357,742) = ( 357 × 742 ) / 7
LCM(357,742) = 264894 / 7
LCM(357,742) = 37842
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7610/357, 2715/742
1. What is the HCF of 7610,2715?
The HCF of 7610,2715 is 5
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 7610/357, 2715/742?
Answer: GCF of Numerators as per given numbers 7610/357, 2715/742 is
GCF of Numerators i.e. for 7610,2715 is 5
LCM of denominators i.e. for 357,742 is 37842.
Thus, GCF of Fractions is 5/37842.Finally, GCF of Fractions for 7610/357, 2715/742 is 5/37842.