GCF of 2652/683, 4404/932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2652/683, 4404/932 i.e 12/636556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2652/683, 4404/932.
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 2652/683,4404/932?
Given fractions are 2652/683,4404/932
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 2652/683,4404/932, numerators are 2652,4404
Denominators are 683,932
The GCF of 2652,4404 is 12 .
LCM of 683,932 is 636556.
The greatest common factor of 2652/683,4404/932 = [GCF of 2652,4404]/[LCM of 683,932]= 12/636556
Therefore, the GCF of 2652/683,4404/932 is 12/636556.
To find the highest common factor of 2652,4404, we have to find the factors of both numbers and list the highest common factor.
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404
The HCF of 2652,4404 is 12.
Lets's calculate GCF of 2652,4404
| 2 | 2652, 4404 |
| 2 | 1326, 2202 |
| 3 | 663, 1101 |
| 221, 367 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2652,4404 By Matching Biggest Common Factor Method
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Now, list down the factors of 4404
:1,2,3,4,6,12,367,734,1101,1468,2202,4404
Greatest Common Factor
We found the factors 2652,4404 . The biggest common factor number is the GCF number.
So the greatest common factor 2652,4404 is 12.
Lets's calculate LCM of 683,932
Given numbers has no common factors except 1. So, there LCM is their product i.e 636556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/636556
Therefore, the GCF of Fractions 2652/683,4404/932 is 12/636556
Least Common Multiple of 683,932 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 683,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,932) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,932) x common factors =1 x 1 = 1
LCM(683,932) = ( 683 × 932 ) / 1
LCM(683,932) = 636556 / 1
LCM(683,932) = 636556
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2652/683, 4404/932
1. What is the HCF of 2652,4404?
The HCF of 2652,4404 is 12
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 2652/683, 4404/932?
Answer: GCF of Numerators as per given numbers 2652/683, 4404/932 is
GCF of Numerators i.e. for 2652,4404 is 12
LCM of denominators i.e. for 683,932 is 636556.
Thus, GCF of Fractions is 12/636556.Finally, GCF of Fractions for 2652/683, 4404/932 is 12/636556.