GCF of 9380/797, 5896/7827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9380/797, 5896/7827 i.e 268/6238119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9380/797, 5896/7827.
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 9380/797,5896/7827?
Given fractions are 9380/797,5896/7827
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 9380/797,5896/7827, numerators are 9380,5896
Denominators are 797,7827
The GCF of 9380,5896 is 268 .
LCM of 797,7827 is 6238119.
The greatest common factor of 9380/797,5896/7827 = [GCF of 9380,5896]/[LCM of 797,7827]= 268/6238119
Therefore, the GCF of 9380/797,5896/7827 is 268/6238119.
To find the highest common factor of 9380,5896, we have to find the factors of both numbers and list the highest common factor.
The factors of 9380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 67, 70, 134, 140, 268, 335, 469, 670, 938, 1340, 1876, 2345, 4690, 9380
The factors of 5896 are 1, 2, 4, 8, 11, 22, 44, 67, 88, 134, 268, 536, 737, 1474, 2948, 5896
The HCF of 9380,5896 is 268.
Lets's calculate GCF of 9380,5896
| 2 | 9380, 5896 |
| 2 | 4690, 2948 |
| 67 | 2345, 1474 |
| 35, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 67 = 268
Greatest Common Factor of 9380,5896 By Matching Biggest Common Factor Method
Now, list down the factors of 9380
:1,2,4,5,7,10,14,20,28,35,67,70,134,140,268,335,469,670,938,1340,1876,2345,4690,9380
Now, list down the factors of 5896
:1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896
Greatest Common Factor
We found the factors 9380,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 9380,5896 is 268.
Lets's calculate LCM of 797,7827
Given numbers has no common factors except 1. So, there LCM is their product i.e 6238119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 268/6238119
Therefore, the GCF of Fractions 9380/797,5896/7827 is 268/6238119
Least Common Multiple of 797,7827 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 797,7827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,7827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,7827) x common factors =1 x 1 = 1
LCM(797,7827) = ( 797 × 7827 ) / 1
LCM(797,7827) = 6238119 / 1
LCM(797,7827) = 6238119
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FAQs on GCF of Fractions of 9380/797, 5896/7827
1. What is the HCF of 9380,5896?
The HCF of 9380,5896 is 268
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 9380/797, 5896/7827?
Answer: GCF of Numerators as per given numbers 9380/797, 5896/7827 is
GCF of Numerators i.e. for 9380,5896 is 268
LCM of denominators i.e. for 797,7827 is 6238119.
Thus, GCF of Fractions is 268/6238119.Finally, GCF of Fractions for 9380/797, 5896/7827 is 268/6238119.