GCF of 7427/142, 7366/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7427/142, 7366/974 i.e 1/69154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7427/142, 7366/974.
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 7427/142,7366/974?
Given fractions are 7427/142,7366/974
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 7427/142,7366/974, numerators are 7427,7366
Denominators are 142,974
The GCF of 7427,7366 is 1 .
LCM of 142,974 is 69154.
The greatest common factor of 7427/142,7366/974 = [GCF of 7427,7366]/[LCM of 142,974]= 1/69154
Therefore, the GCF of 7427/142,7366/974 is 1/69154.
To find the highest common factor of 7427,7366, we have to find the factors of both numbers and list the highest common factor.
The factors of 7427 are 1, 7, 1061, 7427
The factors of 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366
The HCF of 7427,7366 is 1.
Lets's calculate GCF of 7427,7366
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7427,7366 By Matching Biggest Common Factor Method
Now, list down the factors of 7427
:1,7,1061,7427
Now, list down the factors of 7366
:1,2,29,58,127,254,3683,7366
Greatest Common Factor
We found the factors 7427,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 7427,7366 is 1.
Lets's calculate LCM of 142,974
| 2 | 142, 974 |
| 71, 487 |
∴ So the LCM of the given numbers is 2 x 71 x 487 = 69154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69154
Therefore, the GCF of Fractions 7427/142,7366/974 is 1/69154
Least Common Multiple of 142,974 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 142,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,974) x common factors =2 x 1 = 2
LCM(142,974) = ( 142 × 974 ) / 2
LCM(142,974) = 138308 / 2
LCM(142,974) = 69154
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FAQs on GCF of Fractions of 7427/142, 7366/974
1. What is the HCF of 7427,7366?
The HCF of 7427,7366 is 1
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 7427/142, 7366/974?
Answer: GCF of Numerators as per given numbers 7427/142, 7366/974 is
GCF of Numerators i.e. for 7427,7366 is 1
LCM of denominators i.e. for 142,974 is 69154.
Thus, GCF of Fractions is 1/69154.Finally, GCF of Fractions for 7427/142, 7366/974 is 1/69154.