GCF of 7296/249, 9536/7796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7296/249, 9536/7796 i.e 64/1941204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7296/249, 9536/7796.
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 7296/249,9536/7796?
Given fractions are 7296/249,9536/7796
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 7296/249,9536/7796, numerators are 7296,9536
Denominators are 249,7796
The GCF of 7296,9536 is 64 .
LCM of 249,7796 is 1941204.
The greatest common factor of 7296/249,9536/7796 = [GCF of 7296,9536]/[LCM of 249,7796]= 64/1941204
Therefore, the GCF of 7296/249,9536/7796 is 64/1941204.
To find the highest common factor of 7296,9536, we have to find the factors of both numbers and list the highest common factor.
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536
The HCF of 7296,9536 is 64.
Lets's calculate GCF of 7296,9536
| 2 | 7296, 9536 |
| 2 | 3648, 4768 |
| 2 | 1824, 2384 |
| 2 | 912, 1192 |
| 2 | 456, 596 |
| 2 | 228, 298 |
| 114, 149 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 7296,9536 By Matching Biggest Common Factor Method
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Now, list down the factors of 9536
:1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536
Greatest Common Factor
We found the factors 7296,9536 . The biggest common factor number is the GCF number.
So the greatest common factor 7296,9536 is 64.
Lets's calculate LCM of 249,7796
Given numbers has no common factors except 1. So, there LCM is their product i.e 1941204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/1941204
Therefore, the GCF of Fractions 7296/249,9536/7796 is 64/1941204
Least Common Multiple of 249,7796 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 249,7796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,7796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(249,7796) x common factors =1 x 1 = 1
LCM(249,7796) = ( 249 × 7796 ) / 1
LCM(249,7796) = 1941204 / 1
LCM(249,7796) = 1941204
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FAQs on GCF of Fractions of 7296/249, 9536/7796
1. What is the HCF of 7296,9536?
The HCF of 7296,9536 is 64
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 7296/249, 9536/7796?
Answer: GCF of Numerators as per given numbers 7296/249, 9536/7796 is
GCF of Numerators i.e. for 7296,9536 is 64
LCM of denominators i.e. for 249,7796 is 1941204.
Thus, GCF of Fractions is 64/1941204.Finally, GCF of Fractions for 7296/249, 9536/7796 is 64/1941204.