GCF of 1404/819, 2652/9734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1404/819, 2652/9734 i.e 156/7972146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1404/819, 2652/9734.
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 1404/819,2652/9734?
Given fractions are 1404/819,2652/9734
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 1404/819,2652/9734, numerators are 1404,2652
Denominators are 819,9734
The GCF of 1404,2652 is 156 .
LCM of 819,9734 is 7972146.
The greatest common factor of 1404/819,2652/9734 = [GCF of 1404,2652]/[LCM of 819,9734]= 156/7972146
Therefore, the GCF of 1404/819,2652/9734 is 156/7972146.
To find the highest common factor of 1404,2652, we have to find the factors of both numbers and list the highest common factor.
The factors of 1404 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404
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 1404,2652 is 156.
Lets's calculate GCF of 1404,2652
| 2 | 1404, 2652 |
| 2 | 702, 1326 |
| 3 | 351, 663 |
| 13 | 117, 221 |
| 9, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156
Greatest Common Factor of 1404,2652 By Matching Biggest Common Factor Method
Now, list down the factors of 1404
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,108,117,156,234,351,468,702,1404
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 1404,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 1404,2652 is 156.
Lets's calculate LCM of 819,9734
Given numbers has no common factors except 1. So, there LCM is their product i.e 7972146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 156/7972146
Therefore, the GCF of Fractions 1404/819,2652/9734 is 156/7972146
Least Common Multiple of 819,9734 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 819,9734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,9734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,9734) x common factors =1 x 1 = 1
LCM(819,9734) = ( 819 × 9734 ) / 1
LCM(819,9734) = 7972146 / 1
LCM(819,9734) = 7972146
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FAQs on GCF of Fractions of 1404/819, 2652/9734
1. What is the HCF of 1404,2652?
The HCF of 1404,2652 is 156
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 1404/819, 2652/9734?
Answer: GCF of Numerators as per given numbers 1404/819, 2652/9734 is
GCF of Numerators i.e. for 1404,2652 is 156
LCM of denominators i.e. for 819,9734 is 7972146.
Thus, GCF of Fractions is 156/7972146.Finally, GCF of Fractions for 1404/819, 2652/9734 is 156/7972146.