GCF of 1931/766, 3180/992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1931/766, 3180/992 i.e 1/379936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1931/766, 3180/992.
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 1931/766,3180/992?
Given fractions are 1931/766,3180/992
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 1931/766,3180/992, numerators are 1931,3180
Denominators are 766,992
The GCF of 1931,3180 is 1 .
LCM of 766,992 is 379936.
The greatest common factor of 1931/766,3180/992 = [GCF of 1931,3180]/[LCM of 766,992]= 1/379936
Therefore, the GCF of 1931/766,3180/992 is 1/379936.
To find the highest common factor of 1931,3180, we have to find the factors of both numbers and list the highest common factor.
The factors of 1931 are 1, 1931
The factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180
The HCF of 1931,3180 is 1.
Lets's calculate GCF of 1931,3180
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1931,3180 By Matching Biggest Common Factor Method
Now, list down the factors of 1931
:1,1931
Now, list down the factors of 3180
:1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180
Greatest Common Factor
We found the factors 1931,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 1931,3180 is 1.
Lets's calculate LCM of 766,992
| 2 | 766, 992 |
| 383, 496 |
∴ So the LCM of the given numbers is 2 x 383 x 496 = 379936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379936
Therefore, the GCF of Fractions 1931/766,3180/992 is 1/379936
Least Common Multiple of 766,992 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 766,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,992) x common factors =2 x 1 = 2
LCM(766,992) = ( 766 × 992 ) / 2
LCM(766,992) = 759872 / 2
LCM(766,992) = 379936
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FAQs on GCF of Fractions of 1931/766, 3180/992
1. What is the HCF of 1931,3180?
The HCF of 1931,3180 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 1931/766, 3180/992?
Answer: GCF of Numerators as per given numbers 1931/766, 3180/992 is
GCF of Numerators i.e. for 1931,3180 is 1
LCM of denominators i.e. for 766,992 is 379936.
Thus, GCF of Fractions is 1/379936.Finally, GCF of Fractions for 1931/766, 3180/992 is 1/379936.