GCF of 853/52, 328/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 853/52, 328/414 i.e 1/10764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 853/52, 328/414.
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 853/52,328/414?
Given fractions are 853/52,328/414
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 853/52,328/414, numerators are 853,328
Denominators are 52,414
The GCF of 853,328 is 1 .
LCM of 52,414 is 10764.
The greatest common factor of 853/52,328/414 = [GCF of 853,328]/[LCM of 52,414]= 1/10764
Therefore, the GCF of 853/52,328/414 is 1/10764.
To find the highest common factor of 853,328, we have to find the factors of both numbers and list the highest common factor.
The factors of 853 are 1, 853
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The HCF of 853,328 is 1.
Lets's calculate GCF of 853,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 853,328 By Matching Biggest Common Factor Method
Now, list down the factors of 853
:1,853
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 853,328 . The biggest common factor number is the GCF number.
So the greatest common factor 853,328 is 1.
Lets's calculate LCM of 52,414
| 2 | 52, 414 |
| 26, 207 |
∴ So the LCM of the given numbers is 2 x 26 x 207 = 10764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10764
Therefore, the GCF of Fractions 853/52,328/414 is 1/10764
Least Common Multiple of 52,414 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 52,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,414) x common factors =2 x 1 = 2
LCM(52,414) = ( 52 × 414 ) / 2
LCM(52,414) = 21528 / 2
LCM(52,414) = 10764
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FAQs on GCF of Fractions of 853/52, 328/414
1. What is the HCF of 853,328?
The HCF of 853,328 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 853/52, 328/414?
Answer: GCF of Numerators as per given numbers 853/52, 328/414 is
GCF of Numerators i.e. for 853,328 is 1
LCM of denominators i.e. for 52,414 is 10764.
Thus, GCF of Fractions is 1/10764.Finally, GCF of Fractions for 853/52, 328/414 is 1/10764.