GCF of 9276/680, 6909/3604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9276/680, 6909/3604 i.e 3/36040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9276/680, 6909/3604.
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 9276/680,6909/3604?
Given fractions are 9276/680,6909/3604
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 9276/680,6909/3604, numerators are 9276,6909
Denominators are 680,3604
The GCF of 9276,6909 is 3 .
LCM of 680,3604 is 36040.
The greatest common factor of 9276/680,6909/3604 = [GCF of 9276,6909]/[LCM of 680,3604]= 3/36040
Therefore, the GCF of 9276/680,6909/3604 is 3/36040.
To find the highest common factor of 9276,6909, we have to find the factors of both numbers and list the highest common factor.
The factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276
The factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909
The HCF of 9276,6909 is 3.
Lets's calculate GCF of 9276,6909
| 3 | 9276, 6909 |
| 3092, 2303 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9276,6909 By Matching Biggest Common Factor Method
Now, list down the factors of 9276
:1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Now, list down the factors of 6909
:1,3,7,21,47,49,141,147,329,987,2303,6909
Greatest Common Factor
We found the factors 9276,6909 . The biggest common factor number is the GCF number.
So the greatest common factor 9276,6909 is 3.
Lets's calculate LCM of 680,3604
| 2 | 680, 3604 |
| 2 | 340, 1802 |
| 17 | 170, 901 |
| 10, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 10 x 53 = 36040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36040
Therefore, the GCF of Fractions 9276/680,6909/3604 is 3/36040
Least Common Multiple of 680,3604 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 680,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,3604) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(680,3604) x common factors =68 x 1 = 68
LCM(680,3604) = ( 680 × 3604 ) / 68
LCM(680,3604) = 2450720 / 68
LCM(680,3604) = 36040
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FAQs on GCF of Fractions of 9276/680, 6909/3604
1. What is the HCF of 9276,6909?
The HCF of 9276,6909 is 3
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 9276/680, 6909/3604?
Answer: GCF of Numerators as per given numbers 9276/680, 6909/3604 is
GCF of Numerators i.e. for 9276,6909 is 3
LCM of denominators i.e. for 680,3604 is 36040.
Thus, GCF of Fractions is 3/36040.Finally, GCF of Fractions for 9276/680, 6909/3604 is 3/36040.