GCF of 1425/836, 7462/6778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1425/836, 7462/6778 i.e 1/2833204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1425/836, 7462/6778.
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 1425/836,7462/6778?
Given fractions are 1425/836,7462/6778
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 1425/836,7462/6778, numerators are 1425,7462
Denominators are 836,6778
The GCF of 1425,7462 is 1 .
LCM of 836,6778 is 2833204.
The greatest common factor of 1425/836,7462/6778 = [GCF of 1425,7462]/[LCM of 836,6778]= 1/2833204
Therefore, the GCF of 1425/836,7462/6778 is 1/2833204.
To find the highest common factor of 1425,7462, we have to find the factors of both numbers and list the highest common factor.
The factors of 1425 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 475, 1425
The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
The HCF of 1425,7462 is 1.
Lets's calculate GCF of 1425,7462
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1425,7462 By Matching Biggest Common Factor Method
Now, list down the factors of 1425
:1,3,5,15,19,25,57,75,95,285,475,1425
Now, list down the factors of 7462
:1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 1425,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 1425,7462 is 1.
Lets's calculate LCM of 836,6778
| 2 | 836, 6778 |
| 418, 3389 |
∴ So the LCM of the given numbers is 2 x 418 x 3389 = 2833204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2833204
Therefore, the GCF of Fractions 1425/836,7462/6778 is 1/2833204
Least Common Multiple of 836,6778 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 836,6778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,6778) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,6778) x common factors =2 x 1 = 2
LCM(836,6778) = ( 836 × 6778 ) / 2
LCM(836,6778) = 5666408 / 2
LCM(836,6778) = 2833204
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FAQs on GCF of Fractions of 1425/836, 7462/6778
1. What is the HCF of 1425,7462?
The HCF of 1425,7462 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 1425/836, 7462/6778?
Answer: GCF of Numerators as per given numbers 1425/836, 7462/6778 is
GCF of Numerators i.e. for 1425,7462 is 1
LCM of denominators i.e. for 836,6778 is 2833204.
Thus, GCF of Fractions is 1/2833204.Finally, GCF of Fractions for 1425/836, 7462/6778 is 1/2833204.