GCF of 1426/392, 2967/608
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1426/392, 2967/608 i.e 23/29792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1426/392, 2967/608.
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 1426/392,2967/608?
Given fractions are 1426/392,2967/608
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 1426/392,2967/608, numerators are 1426,2967
Denominators are 392,608
The GCF of 1426,2967 is 23 .
LCM of 392,608 is 29792.
The greatest common factor of 1426/392,2967/608 = [GCF of 1426,2967]/[LCM of 392,608]= 23/29792
Therefore, the GCF of 1426/392,2967/608 is 23/29792.
To find the highest common factor of 1426,2967, we have to find the factors of both numbers and list the highest common factor.
The factors of 1426 are 1, 2, 23, 31, 46, 62, 713, 1426
The factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967
The HCF of 1426,2967 is 23.
Lets's calculate GCF of 1426,2967
| 23 | 1426, 2967 |
| 62, 129 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1426,2967 By Matching Biggest Common Factor Method
Now, list down the factors of 1426
:1,2,23,31,46,62,713,1426
Now, list down the factors of 2967
:1,3,23,43,69,129,989,2967
Greatest Common Factor
We found the factors 1426,2967 . The biggest common factor number is the GCF number.
So the greatest common factor 1426,2967 is 23.
Lets's calculate LCM of 392,608
| 2 | 392, 608 |
| 2 | 196, 304 |
| 2 | 98, 152 |
| 49, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 76 = 29792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/29792
Therefore, the GCF of Fractions 1426/392,2967/608 is 23/29792
Least Common Multiple of 392,608 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 392,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,608) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(392,608) x common factors =8 x 1 = 8
LCM(392,608) = ( 392 × 608 ) / 8
LCM(392,608) = 238336 / 8
LCM(392,608) = 29792
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FAQs on GCF of Fractions of 1426/392, 2967/608
1. What is the HCF of 1426,2967?
The HCF of 1426,2967 is 23
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 1426/392, 2967/608?
Answer: GCF of Numerators as per given numbers 1426/392, 2967/608 is
GCF of Numerators i.e. for 1426,2967 is 23
LCM of denominators i.e. for 392,608 is 29792.
Thus, GCF of Fractions is 23/29792.Finally, GCF of Fractions for 1426/392, 2967/608 is 23/29792.