GCF of 961/984, 121/849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/984, 121/849 i.e 1/278472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/984, 121/849.
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 961/984,121/849?
Given fractions are 961/984,121/849
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 961/984,121/849, numerators are 961,121
Denominators are 984,849
The GCF of 961,121 is 1 .
LCM of 984,849 is 278472.
The greatest common factor of 961/984,121/849 = [GCF of 961,121]/[LCM of 984,849]= 1/278472
Therefore, the GCF of 961/984,121/849 is 1/278472.
To find the highest common factor of 961,121, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 121 are 1, 11, 121
The HCF of 961,121 is 1.
Lets's calculate GCF of 961,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,121 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 121
:1,11,121
Greatest Common Factor
We found the factors 961,121 . The biggest common factor number is the GCF number.
So the greatest common factor 961,121 is 1.
Lets's calculate LCM of 984,849
| 3 | 984, 849 |
| 328, 283 |
∴ So the LCM of the given numbers is 3 x 328 x 283 = 278472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278472
Therefore, the GCF of Fractions 961/984,121/849 is 1/278472
Least Common Multiple of 984,849 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 984,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,849) x common factors =3 x 1 = 3
LCM(984,849) = ( 984 × 849 ) / 3
LCM(984,849) = 835416 / 3
LCM(984,849) = 278472
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FAQs on GCF of Fractions of 961/984, 121/849
1. What is the HCF of 961,121?
The HCF of 961,121 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 961/984, 121/849?
Answer: GCF of Numerators as per given numbers 961/984, 121/849 is
GCF of Numerators i.e. for 961,121 is 1
LCM of denominators i.e. for 984,849 is 278472.
Thus, GCF of Fractions is 1/278472.Finally, GCF of Fractions for 961/984, 121/849 is 1/278472.