GCF of 9410/779, 3140/5365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9410/779, 3140/5365 i.e 10/4179335 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9410/779, 3140/5365.
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 9410/779,3140/5365?
Given fractions are 9410/779,3140/5365
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 9410/779,3140/5365, numerators are 9410,3140
Denominators are 779,5365
The GCF of 9410,3140 is 10 .
LCM of 779,5365 is 4179335.
The greatest common factor of 9410/779,3140/5365 = [GCF of 9410,3140]/[LCM of 779,5365]= 10/4179335
Therefore, the GCF of 9410/779,3140/5365 is 10/4179335.
To find the highest common factor of 9410,3140, we have to find the factors of both numbers and list the highest common factor.
The factors of 9410 are 1, 2, 5, 10, 941, 1882, 4705, 9410
The factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
The HCF of 9410,3140 is 10.
Lets's calculate GCF of 9410,3140
| 2 | 9410, 3140 |
| 5 | 4705, 1570 |
| 941, 314 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9410,3140 By Matching Biggest Common Factor Method
Now, list down the factors of 9410
:1,2,5,10,941,1882,4705,9410
Now, list down the factors of 3140
:1,2,4,5,10,20,157,314,628,785,1570,3140
Greatest Common Factor
We found the factors 9410,3140 . The biggest common factor number is the GCF number.
So the greatest common factor 9410,3140 is 10.
Lets's calculate LCM of 779,5365
Given numbers has no common factors except 1. So, there LCM is their product i.e 4179335
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4179335
Therefore, the GCF of Fractions 9410/779,3140/5365 is 10/4179335
Least Common Multiple of 779,5365 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 779,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,5365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,5365) x common factors =1 x 1 = 1
LCM(779,5365) = ( 779 × 5365 ) / 1
LCM(779,5365) = 4179335 / 1
LCM(779,5365) = 4179335
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FAQs on GCF of Fractions of 9410/779, 3140/5365
1. What is the HCF of 9410,3140?
The HCF of 9410,3140 is 10
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 9410/779, 3140/5365?
Answer: GCF of Numerators as per given numbers 9410/779, 3140/5365 is
GCF of Numerators i.e. for 9410,3140 is 10
LCM of denominators i.e. for 779,5365 is 4179335.
Thus, GCF of Fractions is 10/4179335.Finally, GCF of Fractions for 9410/779, 3140/5365 is 10/4179335.