GCF of 9582/777, 7810/2824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9582/777, 7810/2824 i.e 2/2194248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9582/777, 7810/2824.
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 9582/777,7810/2824?
Given fractions are 9582/777,7810/2824
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 9582/777,7810/2824, numerators are 9582,7810
Denominators are 777,2824
The GCF of 9582,7810 is 2 .
LCM of 777,2824 is 2194248.
The greatest common factor of 9582/777,7810/2824 = [GCF of 9582,7810]/[LCM of 777,2824]= 2/2194248
Therefore, the GCF of 9582/777,7810/2824 is 2/2194248.
To find the highest common factor of 9582,7810, we have to find the factors of both numbers and list the highest common factor.
The factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582
The factors of 7810 are 1, 2, 5, 10, 11, 22, 55, 71, 110, 142, 355, 710, 781, 1562, 3905, 7810
The HCF of 9582,7810 is 2.
Lets's calculate GCF of 9582,7810
| 2 | 9582, 7810 |
| 4791, 3905 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9582,7810 By Matching Biggest Common Factor Method
Now, list down the factors of 9582
:1,2,3,6,1597,3194,4791,9582
Now, list down the factors of 7810
:1,2,5,10,11,22,55,71,110,142,355,710,781,1562,3905,7810
Greatest Common Factor
We found the factors 9582,7810 . The biggest common factor number is the GCF number.
So the greatest common factor 9582,7810 is 2.
Lets's calculate LCM of 777,2824
Given numbers has no common factors except 1. So, there LCM is their product i.e 2194248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2194248
Therefore, the GCF of Fractions 9582/777,7810/2824 is 2/2194248
Least Common Multiple of 777,2824 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 777,2824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,2824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,2824) x common factors =1 x 1 = 1
LCM(777,2824) = ( 777 × 2824 ) / 1
LCM(777,2824) = 2194248 / 1
LCM(777,2824) = 2194248
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FAQs on GCF of Fractions of 9582/777, 7810/2824
1. What is the HCF of 9582,7810?
The HCF of 9582,7810 is 2
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 9582/777, 7810/2824?
Answer: GCF of Numerators as per given numbers 9582/777, 7810/2824 is
GCF of Numerators i.e. for 9582,7810 is 2
LCM of denominators i.e. for 777,2824 is 2194248.
Thus, GCF of Fractions is 2/2194248.Finally, GCF of Fractions for 9582/777, 7810/2824 is 2/2194248.