GCF of 7420/127, 3738/6094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7420/127, 3738/6094 i.e 14/773938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7420/127, 3738/6094.
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 7420/127,3738/6094?
Given fractions are 7420/127,3738/6094
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 7420/127,3738/6094, numerators are 7420,3738
Denominators are 127,6094
The GCF of 7420,3738 is 14 .
LCM of 127,6094 is 773938.
The greatest common factor of 7420/127,3738/6094 = [GCF of 7420,3738]/[LCM of 127,6094]= 14/773938
Therefore, the GCF of 7420/127,3738/6094 is 14/773938.
To find the highest common factor of 7420,3738, we have to find the factors of both numbers and list the highest common factor.
The factors of 7420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 53, 70, 106, 140, 212, 265, 371, 530, 742, 1060, 1484, 1855, 3710, 7420
The factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738
The HCF of 7420,3738 is 14.
Lets's calculate GCF of 7420,3738
| 2 | 7420, 3738 |
| 7 | 3710, 1869 |
| 530, 267 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7420,3738 By Matching Biggest Common Factor Method
Now, list down the factors of 7420
:1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420
Now, list down the factors of 3738
:1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738
Greatest Common Factor
We found the factors 7420,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 7420,3738 is 14.
Lets's calculate LCM of 127,6094
Given numbers has no common factors except 1. So, there LCM is their product i.e 773938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/773938
Therefore, the GCF of Fractions 7420/127,3738/6094 is 14/773938
Least Common Multiple of 127,6094 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 127,6094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,6094) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,6094) x common factors =1 x 1 = 1
LCM(127,6094) = ( 127 × 6094 ) / 1
LCM(127,6094) = 773938 / 1
LCM(127,6094) = 773938
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FAQs on GCF of Fractions of 7420/127, 3738/6094
1. What is the HCF of 7420,3738?
The HCF of 7420,3738 is 14
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 7420/127, 3738/6094?
Answer: GCF of Numerators as per given numbers 7420/127, 3738/6094 is
GCF of Numerators i.e. for 7420,3738 is 14
LCM of denominators i.e. for 127,6094 is 773938.
Thus, GCF of Fractions is 14/773938.Finally, GCF of Fractions for 7420/127, 3738/6094 is 14/773938.