GCF of 1980/792, 3422/526
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1980/792, 3422/526 i.e 2/208296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1980/792, 3422/526.
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 1980/792,3422/526?
Given fractions are 1980/792,3422/526
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 1980/792,3422/526, numerators are 1980,3422
Denominators are 792,526
The GCF of 1980,3422 is 2 .
LCM of 792,526 is 208296.
The greatest common factor of 1980/792,3422/526 = [GCF of 1980,3422]/[LCM of 792,526]= 2/208296
Therefore, the GCF of 1980/792,3422/526 is 2/208296.
To find the highest common factor of 1980,3422, we have to find the factors of both numbers and list the highest common factor.
The factors of 1980 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 30, 33, 36, 44, 45, 55, 60, 66, 90, 99, 110, 132, 165, 180, 198, 220, 330, 396, 495, 660, 990, 1980
The factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422
The HCF of 1980,3422 is 2.
Lets's calculate GCF of 1980,3422
| 2 | 1980, 3422 |
| 990, 1711 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1980,3422 By Matching Biggest Common Factor Method
Now, list down the factors of 1980
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980
Now, list down the factors of 3422
:1,2,29,58,59,118,1711,3422
Greatest Common Factor
We found the factors 1980,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 1980,3422 is 2.
Lets's calculate LCM of 792,526
| 2 | 792, 526 |
| 396, 263 |
∴ So the LCM of the given numbers is 2 x 396 x 263 = 208296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208296
Therefore, the GCF of Fractions 1980/792,3422/526 is 2/208296
Least Common Multiple of 792,526 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 792,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,526) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(792,526) x common factors =2 x 1 = 2
LCM(792,526) = ( 792 × 526 ) / 2
LCM(792,526) = 416592 / 2
LCM(792,526) = 208296
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FAQs on GCF of Fractions of 1980/792, 3422/526
1. What is the HCF of 1980,3422?
The HCF of 1980,3422 is 2
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 1980/792, 3422/526?
Answer: GCF of Numerators as per given numbers 1980/792, 3422/526 is
GCF of Numerators i.e. for 1980,3422 is 2
LCM of denominators i.e. for 792,526 is 208296.
Thus, GCF of Fractions is 2/208296.Finally, GCF of Fractions for 1980/792, 3422/526 is 2/208296.