GCF of 9101/847, 4940/1492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9101/847, 4940/1492 i.e 19/1263724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9101/847, 4940/1492.
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 9101/847,4940/1492?
Given fractions are 9101/847,4940/1492
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 9101/847,4940/1492, numerators are 9101,4940
Denominators are 847,1492
The GCF of 9101,4940 is 19 .
LCM of 847,1492 is 1263724.
The greatest common factor of 9101/847,4940/1492 = [GCF of 9101,4940]/[LCM of 847,1492]= 19/1263724
Therefore, the GCF of 9101/847,4940/1492 is 19/1263724.
To find the highest common factor of 9101,4940, we have to find the factors of both numbers and list the highest common factor.
The factors of 9101 are 1, 19, 479, 9101
The factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
The HCF of 9101,4940 is 19.
Lets's calculate GCF of 9101,4940
| 19 | 9101, 4940 |
| 479, 260 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9101,4940 By Matching Biggest Common Factor Method
Now, list down the factors of 9101
:1,19,479,9101
Now, list down the factors of 4940
:1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Greatest Common Factor
We found the factors 9101,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 9101,4940 is 19.
Lets's calculate LCM of 847,1492
Given numbers has no common factors except 1. So, there LCM is their product i.e 1263724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1263724
Therefore, the GCF of Fractions 9101/847,4940/1492 is 19/1263724
Least Common Multiple of 847,1492 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 847,1492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,1492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,1492) x common factors =1 x 1 = 1
LCM(847,1492) = ( 847 × 1492 ) / 1
LCM(847,1492) = 1263724 / 1
LCM(847,1492) = 1263724
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FAQs on GCF of Fractions of 9101/847, 4940/1492
1. What is the HCF of 9101,4940?
The HCF of 9101,4940 is 19
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 9101/847, 4940/1492?
Answer: GCF of Numerators as per given numbers 9101/847, 4940/1492 is
GCF of Numerators i.e. for 9101,4940 is 19
LCM of denominators i.e. for 847,1492 is 1263724.
Thus, GCF of Fractions is 19/1263724.Finally, GCF of Fractions for 9101/847, 4940/1492 is 19/1263724.