GCF of 4324/884, 7211/8062
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4324/884, 7211/8062 i.e 1/3563404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4324/884, 7211/8062.
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 4324/884,7211/8062?
Given fractions are 4324/884,7211/8062
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 4324/884,7211/8062, numerators are 4324,7211
Denominators are 884,8062
The GCF of 4324,7211 is 1 .
LCM of 884,8062 is 3563404.
The greatest common factor of 4324/884,7211/8062 = [GCF of 4324,7211]/[LCM of 884,8062]= 1/3563404
Therefore, the GCF of 4324/884,7211/8062 is 1/3563404.
To find the highest common factor of 4324,7211, we have to find the factors of both numbers and list the highest common factor.
The factors of 4324 are 1, 2, 4, 23, 46, 47, 92, 94, 188, 1081, 2162, 4324
The factors of 7211 are 1, 7211
The HCF of 4324,7211 is 1.
Lets's calculate GCF of 4324,7211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4324,7211 By Matching Biggest Common Factor Method
Now, list down the factors of 4324
:1,2,4,23,46,47,92,94,188,1081,2162,4324
Now, list down the factors of 7211
:1,7211
Greatest Common Factor
We found the factors 4324,7211 . The biggest common factor number is the GCF number.
So the greatest common factor 4324,7211 is 1.
Lets's calculate LCM of 884,8062
| 2 | 884, 8062 |
| 442, 4031 |
∴ So the LCM of the given numbers is 2 x 442 x 4031 = 3563404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3563404
Therefore, the GCF of Fractions 4324/884,7211/8062 is 1/3563404
Least Common Multiple of 884,8062 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 884,8062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,8062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(884,8062) x common factors =2 x 1 = 2
LCM(884,8062) = ( 884 × 8062 ) / 2
LCM(884,8062) = 7126808 / 2
LCM(884,8062) = 3563404
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FAQs on GCF of Fractions of 4324/884, 7211/8062
1. What is the HCF of 4324,7211?
The HCF of 4324,7211 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 4324/884, 7211/8062?
Answer: GCF of Numerators as per given numbers 4324/884, 7211/8062 is
GCF of Numerators i.e. for 4324,7211 is 1
LCM of denominators i.e. for 884,8062 is 3563404.
Thus, GCF of Fractions is 1/3563404.Finally, GCF of Fractions for 4324/884, 7211/8062 is 1/3563404.