GCF of 121/540, 990/776, 418/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 121/540, 990/776, 418/321 i.e 11/11209320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 121/540, 990/776, 418/321.
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 121/540,990/776,418/321?
Given fractions are 121/540,990/776,418/321
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 121/540,990/776,418/321, numerators are 121,990,418
Denominators are 540,776,321
The GCF of 121,990,418 is 11 .
LCM of 540,776,321 is 11209320.
The greatest common factor of 121/540,990/776,418/321 = [GCF of 121,990,418]/[LCM of 540,776,321]= 11/11209320
Therefore, the GCF of 121/540,990/776,418/321 is 11/11209320.
To find the highest common factor of 121,990,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 121 are 1, 11, 121
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 121,990,418 is 11.
Lets's calculate GCF of 121,990,418
| 11 | 121, 990, 418 |
| 11, 90, 38 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 121,990,418 By Matching Biggest Common Factor Method
Now, list down the factors of 121
:1,11,121
Now, list down the factors of 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 121,990,418 . The biggest common factor number is the GCF number.
So the greatest common factor 121,990,418 is 11.
Lets's calculate LCM of 540,776,321
| 2 | 540, 776, 321 |
| 2 | 270, 388, 321 |
| 3 | 135, 194, 321 |
| 45, 194, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 45 x 194 x 107 = 11209320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/11209320
Therefore, the GCF of Fractions 121/540,990/776,418/321 is 11/11209320
Least Common Multiple of 540,776,321 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 540,776,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,776,321) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(540,776,321) x common factors =1 x 12 = 12
LCM(540,776,321) = ( 540 × 776 × 321 ) / 12
LCM(540,776,321) = 134511840 / 12
LCM(540,776,321) = 11209320
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FAQs on GCF of Fractions of 121/540, 990/776, 418/321
1. What is the HCF of 121,990,418?
The HCF of 121,990,418 is 11
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 121/540, 990/776, 418/321?
Answer: GCF of Numerators as per given numbers 121/540, 990/776, 418/321 is
GCF of Numerators i.e. for 121,990,418 is 11
LCM of denominators i.e. for 540,776,321 is 11209320.
Thus, GCF of Fractions is 11/11209320.Finally, GCF of Fractions for 121/540, 990/776, 418/321 is 11/11209320.