GCF of 426/696, 1420/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 426/696, 1420/145 i.e 142/3480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 426/696, 1420/145.
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 426/696,1420/145?
Given fractions are 426/696,1420/145
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 426/696,1420/145, numerators are 426,1420
Denominators are 696,145
The GCF of 426,1420 is 142 .
LCM of 696,145 is 3480.
The greatest common factor of 426/696,1420/145 = [GCF of 426,1420]/[LCM of 696,145]= 142/3480
Therefore, the GCF of 426/696,1420/145 is 142/3480.
To find the highest common factor of 426,1420, we have to find the factors of both numbers and list the highest common factor.
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The HCF of 426,1420 is 142.
Lets's calculate GCF of 426,1420
| 2 | 426, 1420 |
| 71 | 213, 710 |
| 3, 10 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 426,1420 By Matching Biggest Common Factor Method
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors 426,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 426,1420 is 142.
Lets's calculate LCM of 696,145
| 29 | 696, 145 |
| 24, 5 |
∴ So the LCM of the given numbers is 29 x 24 x 5 = 3480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/3480
Therefore, the GCF of Fractions 426/696,1420/145 is 142/3480
Least Common Multiple of 696,145 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 696,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,145) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(696,145) x common factors =29 x 1 = 29
LCM(696,145) = ( 696 × 145 ) / 29
LCM(696,145) = 100920 / 29
LCM(696,145) = 3480
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FAQs on GCF of Fractions of 426/696, 1420/145
1. What is the HCF of 426,1420?
The HCF of 426,1420 is 142
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 426/696, 1420/145?
Answer: GCF of Numerators as per given numbers 426/696, 1420/145 is
GCF of Numerators i.e. for 426,1420 is 142
LCM of denominators i.e. for 696,145 is 3480.
Thus, GCF of Fractions is 142/3480.Finally, GCF of Fractions for 426/696, 1420/145 is 142/3480.