GCF of 4333/484, 8942/2145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4333/484, 8942/2145 i.e 1/94380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4333/484, 8942/2145.
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 4333/484,8942/2145?
Given fractions are 4333/484,8942/2145
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 4333/484,8942/2145, numerators are 4333,8942
Denominators are 484,2145
The GCF of 4333,8942 is 1 .
LCM of 484,2145 is 94380.
The greatest common factor of 4333/484,8942/2145 = [GCF of 4333,8942]/[LCM of 484,2145]= 1/94380
Therefore, the GCF of 4333/484,8942/2145 is 1/94380.
To find the highest common factor of 4333,8942, we have to find the factors of both numbers and list the highest common factor.
The factors of 4333 are 1, 7, 619, 4333
The factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942
The HCF of 4333,8942 is 1.
Lets's calculate GCF of 4333,8942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4333,8942 By Matching Biggest Common Factor Method
Now, list down the factors of 4333
:1,7,619,4333
Now, list down the factors of 8942
:1,2,17,34,263,526,4471,8942
Greatest Common Factor
We found the factors 4333,8942 . The biggest common factor number is the GCF number.
So the greatest common factor 4333,8942 is 1.
Lets's calculate LCM of 484,2145
| 11 | 484, 2145 |
| 44, 195 |
∴ So the LCM of the given numbers is 11 x 44 x 195 = 94380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94380
Therefore, the GCF of Fractions 4333/484,8942/2145 is 1/94380
Least Common Multiple of 484,2145 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 484,2145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(484,2145) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(484,2145) x common factors =11 x 1 = 11
LCM(484,2145) = ( 484 × 2145 ) / 11
LCM(484,2145) = 1038180 / 11
LCM(484,2145) = 94380
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FAQs on GCF of Fractions of 4333/484, 8942/2145
1. What is the HCF of 4333,8942?
The HCF of 4333,8942 is 1
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 4333/484, 8942/2145?
Answer: GCF of Numerators as per given numbers 4333/484, 8942/2145 is
GCF of Numerators i.e. for 4333,8942 is 1
LCM of denominators i.e. for 484,2145 is 94380.
Thus, GCF of Fractions is 1/94380.Finally, GCF of Fractions for 4333/484, 8942/2145 is 1/94380.