GCF of 2212/876, 4566/776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2212/876, 4566/776 i.e 2/169944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2212/876, 4566/776.
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 2212/876,4566/776?
Given fractions are 2212/876,4566/776
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 2212/876,4566/776, numerators are 2212,4566
Denominators are 876,776
The GCF of 2212,4566 is 2 .
LCM of 876,776 is 169944.
The greatest common factor of 2212/876,4566/776 = [GCF of 2212,4566]/[LCM of 876,776]= 2/169944
Therefore, the GCF of 2212/876,4566/776 is 2/169944.
To find the highest common factor of 2212,4566, we have to find the factors of both numbers and list the highest common factor.
The factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212
The factors of 4566 are 1, 2, 3, 6, 761, 1522, 2283, 4566
The HCF of 2212,4566 is 2.
Lets's calculate GCF of 2212,4566
| 2 | 2212, 4566 |
| 1106, 2283 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2212,4566 By Matching Biggest Common Factor Method
Now, list down the factors of 2212
:1,2,4,7,14,28,79,158,316,553,1106,2212
Now, list down the factors of 4566
:1,2,3,6,761,1522,2283,4566
Greatest Common Factor
We found the factors 2212,4566 . The biggest common factor number is the GCF number.
So the greatest common factor 2212,4566 is 2.
Lets's calculate LCM of 876,776
| 2 | 876, 776 |
| 2 | 438, 388 |
| 219, 194 |
∴ So the LCM of the given numbers is 2 x 2 x 219 x 194 = 169944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/169944
Therefore, the GCF of Fractions 2212/876,4566/776 is 2/169944
Least Common Multiple of 876,776 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 876,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,776) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(876,776) x common factors =4 x 1 = 4
LCM(876,776) = ( 876 × 776 ) / 4
LCM(876,776) = 679776 / 4
LCM(876,776) = 169944
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FAQs on GCF of Fractions of 2212/876, 4566/776
1. What is the HCF of 2212,4566?
The HCF of 2212,4566 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 2212/876, 4566/776?
Answer: GCF of Numerators as per given numbers 2212/876, 4566/776 is
GCF of Numerators i.e. for 2212,4566 is 2
LCM of denominators i.e. for 876,776 is 169944.
Thus, GCF of Fractions is 2/169944.Finally, GCF of Fractions for 2212/876, 4566/776 is 2/169944.