GCF of 7290/915, 6920/9345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7290/915, 6920/9345 i.e 10/570045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7290/915, 6920/9345.
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 7290/915,6920/9345?
Given fractions are 7290/915,6920/9345
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 7290/915,6920/9345, numerators are 7290,6920
Denominators are 915,9345
The GCF of 7290,6920 is 10 .
LCM of 915,9345 is 570045.
The greatest common factor of 7290/915,6920/9345 = [GCF of 7290,6920]/[LCM of 915,9345]= 10/570045
Therefore, the GCF of 7290/915,6920/9345 is 10/570045.
To find the highest common factor of 7290,6920, we have to find the factors of both numbers and list the highest common factor.
The factors of 7290 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645, 7290
The factors of 6920 are 1, 2, 4, 5, 8, 10, 20, 40, 173, 346, 692, 865, 1384, 1730, 3460, 6920
The HCF of 7290,6920 is 10.
Lets's calculate GCF of 7290,6920
| 2 | 7290, 6920 |
| 5 | 3645, 3460 |
| 729, 692 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7290,6920 By Matching Biggest Common Factor Method
Now, list down the factors of 7290
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,729,810,1215,1458,2430,3645,7290
Now, list down the factors of 6920
:1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920
Greatest Common Factor
We found the factors 7290,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 7290,6920 is 10.
Lets's calculate LCM of 915,9345
| 3 | 915, 9345 |
| 5 | 305, 3115 |
| 61, 623 |
∴ So the LCM of the given numbers is 3 x 5 x 61 x 623 = 570045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/570045
Therefore, the GCF of Fractions 7290/915,6920/9345 is 10/570045
Least Common Multiple of 915,9345 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 915,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,9345) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(915,9345) x common factors =15 x 1 = 15
LCM(915,9345) = ( 915 × 9345 ) / 15
LCM(915,9345) = 8550675 / 15
LCM(915,9345) = 570045
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FAQs on GCF of Fractions of 7290/915, 6920/9345
1. What is the HCF of 7290,6920?
The HCF of 7290,6920 is 10
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 7290/915, 6920/9345?
Answer: GCF of Numerators as per given numbers 7290/915, 6920/9345 is
GCF of Numerators i.e. for 7290,6920 is 10
LCM of denominators i.e. for 915,9345 is 570045.
Thus, GCF of Fractions is 10/570045.Finally, GCF of Fractions for 7290/915, 6920/9345 is 10/570045.