GCF of 4532/416, 9794/8544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4532/416, 9794/8544 i.e 2/111072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4532/416, 9794/8544.
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 4532/416,9794/8544?
Given fractions are 4532/416,9794/8544
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 4532/416,9794/8544, numerators are 4532,9794
Denominators are 416,8544
The GCF of 4532,9794 is 2 .
LCM of 416,8544 is 111072.
The greatest common factor of 4532/416,9794/8544 = [GCF of 4532,9794]/[LCM of 416,8544]= 2/111072
Therefore, the GCF of 4532/416,9794/8544 is 2/111072.
To find the highest common factor of 4532,9794, we have to find the factors of both numbers and list the highest common factor.
The factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532
The factors of 9794 are 1, 2, 59, 83, 118, 166, 4897, 9794
The HCF of 4532,9794 is 2.
Lets's calculate GCF of 4532,9794
| 2 | 4532, 9794 |
| 2266, 4897 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4532,9794 By Matching Biggest Common Factor Method
Now, list down the factors of 4532
:1,2,4,11,22,44,103,206,412,1133,2266,4532
Now, list down the factors of 9794
:1,2,59,83,118,166,4897,9794
Greatest Common Factor
We found the factors 4532,9794 . The biggest common factor number is the GCF number.
So the greatest common factor 4532,9794 is 2.
Lets's calculate LCM of 416,8544
| 2 | 416, 8544 |
| 2 | 208, 4272 |
| 2 | 104, 2136 |
| 2 | 52, 1068 |
| 2 | 26, 534 |
| 13, 267 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 267 = 111072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111072
Therefore, the GCF of Fractions 4532/416,9794/8544 is 2/111072
Least Common Multiple of 416,8544 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 416,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,8544) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(416,8544) x common factors =32 x 1 = 32
LCM(416,8544) = ( 416 × 8544 ) / 32
LCM(416,8544) = 3554304 / 32
LCM(416,8544) = 111072
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FAQs on GCF of Fractions of 4532/416, 9794/8544
1. What is the HCF of 4532,9794?
The HCF of 4532,9794 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 4532/416, 9794/8544?
Answer: GCF of Numerators as per given numbers 4532/416, 9794/8544 is
GCF of Numerators i.e. for 4532,9794 is 2
LCM of denominators i.e. for 416,8544 is 111072.
Thus, GCF of Fractions is 2/111072.Finally, GCF of Fractions for 4532/416, 9794/8544 is 2/111072.