GCF of 4422/772, 8758/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4422/772, 8758/924 i.e 2/178332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4422/772, 8758/924.
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 4422/772,8758/924?
Given fractions are 4422/772,8758/924
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 4422/772,8758/924, numerators are 4422,8758
Denominators are 772,924
The GCF of 4422,8758 is 2 .
LCM of 772,924 is 178332.
The greatest common factor of 4422/772,8758/924 = [GCF of 4422,8758]/[LCM of 772,924]= 2/178332
Therefore, the GCF of 4422/772,8758/924 is 2/178332.
To find the highest common factor of 4422,8758, we have to find the factors of both numbers and list the highest common factor.
The factors of 4422 are 1, 2, 3, 6, 11, 22, 33, 66, 67, 134, 201, 402, 737, 1474, 2211, 4422
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The HCF of 4422,8758 is 2.
Lets's calculate GCF of 4422,8758
| 2 | 4422, 8758 |
| 2211, 4379 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4422,8758 By Matching Biggest Common Factor Method
Now, list down the factors of 4422
:1,2,3,6,11,22,33,66,67,134,201,402,737,1474,2211,4422
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Greatest Common Factor
We found the factors 4422,8758 . The biggest common factor number is the GCF number.
So the greatest common factor 4422,8758 is 2.
Lets's calculate LCM of 772,924
| 2 | 772, 924 |
| 2 | 386, 462 |
| 193, 231 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 231 = 178332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/178332
Therefore, the GCF of Fractions 4422/772,8758/924 is 2/178332
Least Common Multiple of 772,924 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 772,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,924) x common factors =4 x 1 = 4
LCM(772,924) = ( 772 × 924 ) / 4
LCM(772,924) = 713328 / 4
LCM(772,924) = 178332
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FAQs on GCF of Fractions of 4422/772, 8758/924
1. What is the HCF of 4422,8758?
The HCF of 4422,8758 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 4422/772, 8758/924?
Answer: GCF of Numerators as per given numbers 4422/772, 8758/924 is
GCF of Numerators i.e. for 4422,8758 is 2
LCM of denominators i.e. for 772,924 is 178332.
Thus, GCF of Fractions is 2/178332.Finally, GCF of Fractions for 4422/772, 8758/924 is 2/178332.