GCF of 7476/640, 8319/9202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7476/640, 8319/9202 i.e 3/2944640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7476/640, 8319/9202.
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 7476/640,8319/9202?
Given fractions are 7476/640,8319/9202
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 7476/640,8319/9202, numerators are 7476,8319
Denominators are 640,9202
The GCF of 7476,8319 is 3 .
LCM of 640,9202 is 2944640.
The greatest common factor of 7476/640,8319/9202 = [GCF of 7476,8319]/[LCM of 640,9202]= 3/2944640
Therefore, the GCF of 7476/640,8319/9202 is 3/2944640.
To find the highest common factor of 7476,8319, we have to find the factors of both numbers and list the highest common factor.
The factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476
The factors of 8319 are 1, 3, 47, 59, 141, 177, 2773, 8319
The HCF of 7476,8319 is 3.
Lets's calculate GCF of 7476,8319
| 3 | 7476, 8319 |
| 2492, 2773 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7476,8319 By Matching Biggest Common Factor Method
Now, list down the factors of 7476
:1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
Now, list down the factors of 8319
:1,3,47,59,141,177,2773,8319
Greatest Common Factor
We found the factors 7476,8319 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,8319 is 3.
Lets's calculate LCM of 640,9202
| 2 | 640, 9202 |
| 320, 4601 |
∴ So the LCM of the given numbers is 2 x 320 x 4601 = 2944640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2944640
Therefore, the GCF of Fractions 7476/640,8319/9202 is 3/2944640
Least Common Multiple of 640,9202 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 640,9202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,9202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(640,9202) x common factors =2 x 1 = 2
LCM(640,9202) = ( 640 × 9202 ) / 2
LCM(640,9202) = 5889280 / 2
LCM(640,9202) = 2944640
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FAQs on GCF of Fractions of 7476/640, 8319/9202
1. What is the HCF of 7476,8319?
The HCF of 7476,8319 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 7476/640, 8319/9202?
Answer: GCF of Numerators as per given numbers 7476/640, 8319/9202 is
GCF of Numerators i.e. for 7476,8319 is 3
LCM of denominators i.e. for 640,9202 is 2944640.
Thus, GCF of Fractions is 3/2944640.Finally, GCF of Fractions for 7476/640, 8319/9202 is 3/2944640.