GCF of 7783/432, 9976/736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7783/432, 9976/736 i.e 43/19872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7783/432, 9976/736.
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 7783/432,9976/736?
Given fractions are 7783/432,9976/736
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 7783/432,9976/736, numerators are 7783,9976
Denominators are 432,736
The GCF of 7783,9976 is 43 .
LCM of 432,736 is 19872.
The greatest common factor of 7783/432,9976/736 = [GCF of 7783,9976]/[LCM of 432,736]= 43/19872
Therefore, the GCF of 7783/432,9976/736 is 43/19872.
To find the highest common factor of 7783,9976, we have to find the factors of both numbers and list the highest common factor.
The factors of 7783 are 1, 43, 181, 7783
The factors of 9976 are 1, 2, 4, 8, 29, 43, 58, 86, 116, 172, 232, 344, 1247, 2494, 4988, 9976
The HCF of 7783,9976 is 43.
Lets's calculate GCF of 7783,9976
| 43 | 7783, 9976 |
| 181, 232 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 7783,9976 By Matching Biggest Common Factor Method
Now, list down the factors of 7783
:1,43,181,7783
Now, list down the factors of 9976
:1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976
Greatest Common Factor
We found the factors 7783,9976 . The biggest common factor number is the GCF number.
So the greatest common factor 7783,9976 is 43.
Lets's calculate LCM of 432,736
| 2 | 432, 736 |
| 2 | 216, 368 |
| 2 | 108, 184 |
| 2 | 54, 92 |
| 27, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 46 = 19872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/19872
Therefore, the GCF of Fractions 7783/432,9976/736 is 43/19872
Least Common Multiple of 432,736 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 432,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,736) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(432,736) x common factors =16 x 1 = 16
LCM(432,736) = ( 432 × 736 ) / 16
LCM(432,736) = 317952 / 16
LCM(432,736) = 19872
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FAQs on GCF of Fractions of 7783/432, 9976/736
1. What is the HCF of 7783,9976?
The HCF of 7783,9976 is 43
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 7783/432, 9976/736?
Answer: GCF of Numerators as per given numbers 7783/432, 9976/736 is
GCF of Numerators i.e. for 7783,9976 is 43
LCM of denominators i.e. for 432,736 is 19872.
Thus, GCF of Fractions is 43/19872.Finally, GCF of Fractions for 7783/432, 9976/736 is 43/19872.