GCF of 7610/758, 1215/8574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7610/758, 1215/8574 i.e 5/3249546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7610/758, 1215/8574.
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 7610/758,1215/8574?
Given fractions are 7610/758,1215/8574
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 7610/758,1215/8574, numerators are 7610,1215
Denominators are 758,8574
The GCF of 7610,1215 is 5 .
LCM of 758,8574 is 3249546.
The greatest common factor of 7610/758,1215/8574 = [GCF of 7610,1215]/[LCM of 758,8574]= 5/3249546
Therefore, the GCF of 7610/758,1215/8574 is 5/3249546.
To find the highest common factor of 7610,1215, 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 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The HCF of 7610,1215 is 5.
Lets's calculate GCF of 7610,1215
| 5 | 7610, 1215 |
| 1522, 243 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7610,1215 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 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Greatest Common Factor
We found the factors 7610,1215 . The biggest common factor number is the GCF number.
So the greatest common factor 7610,1215 is 5.
Lets's calculate LCM of 758,8574
| 2 | 758, 8574 |
| 379, 4287 |
∴ So the LCM of the given numbers is 2 x 379 x 4287 = 3249546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3249546
Therefore, the GCF of Fractions 7610/758,1215/8574 is 5/3249546
Least Common Multiple of 758,8574 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 758,8574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,8574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(758,8574) x common factors =2 x 1 = 2
LCM(758,8574) = ( 758 × 8574 ) / 2
LCM(758,8574) = 6499092 / 2
LCM(758,8574) = 3249546
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FAQs on GCF of Fractions of 7610/758, 1215/8574
1. What is the HCF of 7610,1215?
The HCF of 7610,1215 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 7610/758, 1215/8574?
Answer: GCF of Numerators as per given numbers 7610/758, 1215/8574 is
GCF of Numerators i.e. for 7610,1215 is 5
LCM of denominators i.e. for 758,8574 is 3249546.
Thus, GCF of Fractions is 5/3249546.Finally, GCF of Fractions for 7610/758, 1215/8574 is 5/3249546.