GCF of 4698/948, 2652/9260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4698/948, 2652/9260 i.e 6/2194620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4698/948, 2652/9260.
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 4698/948,2652/9260?
Given fractions are 4698/948,2652/9260
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 4698/948,2652/9260, numerators are 4698,2652
Denominators are 948,9260
The GCF of 4698,2652 is 6 .
LCM of 948,9260 is 2194620.
The greatest common factor of 4698/948,2652/9260 = [GCF of 4698,2652]/[LCM of 948,9260]= 6/2194620
Therefore, the GCF of 4698/948,2652/9260 is 6/2194620.
To find the highest common factor of 4698,2652, we have to find the factors of both numbers and list the highest common factor.
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
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 HCF of 4698,2652 is 6.
Lets's calculate GCF of 4698,2652
| 2 | 4698, 2652 |
| 3 | 2349, 1326 |
| 783, 442 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4698,2652 By Matching Biggest Common Factor Method
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
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
Greatest Common Factor
We found the factors 4698,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,2652 is 6.
Lets's calculate LCM of 948,9260
| 2 | 948, 9260 |
| 2 | 474, 4630 |
| 237, 2315 |
∴ So the LCM of the given numbers is 2 x 2 x 237 x 2315 = 2194620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2194620
Therefore, the GCF of Fractions 4698/948,2652/9260 is 6/2194620
Least Common Multiple of 948,9260 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 948,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,9260) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(948,9260) x common factors =4 x 1 = 4
LCM(948,9260) = ( 948 × 9260 ) / 4
LCM(948,9260) = 8778480 / 4
LCM(948,9260) = 2194620
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FAQs on GCF of Fractions of 4698/948, 2652/9260
1. What is the HCF of 4698,2652?
The HCF of 4698,2652 is 6
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 4698/948, 2652/9260?
Answer: GCF of Numerators as per given numbers 4698/948, 2652/9260 is
GCF of Numerators i.e. for 4698,2652 is 6
LCM of denominators i.e. for 948,9260 is 2194620.
Thus, GCF of Fractions is 6/2194620.Finally, GCF of Fractions for 4698/948, 2652/9260 is 6/2194620.