GCF of 22/121, 98/462, 771/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/121, 98/462, 771/954 i.e 1/808038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/121, 98/462, 771/954.
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 22/121,98/462,771/954?
Given fractions are 22/121,98/462,771/954
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 22/121,98/462,771/954, numerators are 22,98,771
Denominators are 121,462,954
The GCF of 22,98,771 is 1 .
LCM of 121,462,954 is 808038.
The greatest common factor of 22/121,98/462,771/954 = [GCF of 22,98,771]/[LCM of 121,462,954]= 1/808038
Therefore, the GCF of 22/121,98/462,771/954 is 1/808038.
To find the highest common factor of 22,98,771, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 771 are 1, 3, 257, 771
The HCF of 22,98,771 is 1.
Lets's calculate GCF of 22,98,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 22,98,771 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 771
:1,3,257,771
Greatest Common Factor
We found the factors 22,98,771 . The biggest common factor number is the GCF number.
So the greatest common factor 22,98,771 is 1.
Lets's calculate LCM of 121,462,954
| 2 | 121, 462, 954 |
| 3 | 121, 231, 477 |
| 11 | 121, 77, 159 |
| 11, 7, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 11 x 7 x 159 = 808038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808038
Therefore, the GCF of Fractions 22/121,98/462,771/954 is 1/808038
Least Common Multiple of 121,462,954 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 121,462,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,462,954) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(121,462,954) x common factors =1 x 66 = 66
LCM(121,462,954) = ( 121 × 462 × 954 ) / 66
LCM(121,462,954) = 53330508 / 66
LCM(121,462,954) = 808038
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FAQs on GCF of Fractions of 22/121, 98/462, 771/954
1. What is the HCF of 22,98,771?
The HCF of 22,98,771 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 22/121, 98/462, 771/954?
Answer: GCF of Numerators as per given numbers 22/121, 98/462, 771/954 is
GCF of Numerators i.e. for 22,98,771 is 1
LCM of denominators i.e. for 121,462,954 is 808038.
Thus, GCF of Fractions is 1/808038.Finally, GCF of Fractions for 22/121, 98/462, 771/954 is 1/808038.