GCF of 22/780, 76/264, 838/211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/780, 76/264, 838/211 i.e 2/3620760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/780, 76/264, 838/211.
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 22/780,76/264,838/211?
Given fractions are 22/780,76/264,838/211
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 22/780,76/264,838/211, numerators are 22,76,838
Denominators are 780,264,211
The GCF of 22,76,838 is 2 .
LCM of 780,264,211 is 3620760.
The greatest common factor of 22/780,76/264,838/211 = [GCF of 22,76,838]/[LCM of 780,264,211]= 2/3620760
Therefore, the GCF of 22/780,76/264,838/211 is 2/3620760.
To find the highest common factor of 22,76,838, 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 76 are 1, 2, 4, 19, 38, 76
The factors of 838 are 1, 2, 419, 838
The HCF of 22,76,838 is 2.
Lets's calculate GCF of 22,76,838
| 2 | 22, 76, 838 |
| 11, 38, 419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 22,76,838 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 22,76,838 . The biggest common factor number is the GCF number.
So the greatest common factor 22,76,838 is 2.
Lets's calculate LCM of 780,264,211
| 2 | 780, 264, 211 |
| 2 | 390, 132, 211 |
| 3 | 195, 66, 211 |
| 65, 22, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 65 x 22 x 211 = 3620760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3620760
Therefore, the GCF of Fractions 22/780,76/264,838/211 is 2/3620760
Least Common Multiple of 780,264,211 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 780,264,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,264,211) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(780,264,211) x common factors =1 x 12 = 12
LCM(780,264,211) = ( 780 × 264 × 211 ) / 12
LCM(780,264,211) = 43449120 / 12
LCM(780,264,211) = 3620760
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FAQs on GCF of Fractions of 22/780, 76/264, 838/211
1. What is the HCF of 22,76,838?
The HCF of 22,76,838 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 22/780, 76/264, 838/211?
Answer: GCF of Numerators as per given numbers 22/780, 76/264, 838/211 is
GCF of Numerators i.e. for 22,76,838 is 2
LCM of denominators i.e. for 780,264,211 is 3620760.
Thus, GCF of Fractions is 2/3620760.Finally, GCF of Fractions for 22/780, 76/264, 838/211 is 2/3620760.