GCF of 883/414, 531/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 883/414, 531/160 i.e 1/33120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 883/414, 531/160.
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 883/414,531/160?
Given fractions are 883/414,531/160
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 883/414,531/160, numerators are 883,531
Denominators are 414,160
The GCF of 883,531 is 1 .
LCM of 414,160 is 33120.
The greatest common factor of 883/414,531/160 = [GCF of 883,531]/[LCM of 414,160]= 1/33120
Therefore, the GCF of 883/414,531/160 is 1/33120.
To find the highest common factor of 883,531, we have to find the factors of both numbers and list the highest common factor.
The factors of 883 are 1, 883
The factors of 531 are 1, 3, 9, 59, 177, 531
The HCF of 883,531 is 1.
Lets's calculate GCF of 883,531
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 883,531 By Matching Biggest Common Factor Method
Now, list down the factors of 883
:1,883
Now, list down the factors of 531
:1,3,9,59,177,531
Greatest Common Factor
We found the factors 883,531 . The biggest common factor number is the GCF number.
So the greatest common factor 883,531 is 1.
Lets's calculate LCM of 414,160
| 2 | 414, 160 |
| 207, 80 |
∴ So the LCM of the given numbers is 2 x 207 x 80 = 33120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33120
Therefore, the GCF of Fractions 883/414,531/160 is 1/33120
Least Common Multiple of 414,160 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 414,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,160) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,160) x common factors =2 x 1 = 2
LCM(414,160) = ( 414 × 160 ) / 2
LCM(414,160) = 66240 / 2
LCM(414,160) = 33120
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FAQs on GCF of Fractions of 883/414, 531/160
1. What is the HCF of 883,531?
The HCF of 883,531 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 883/414, 531/160?
Answer: GCF of Numerators as per given numbers 883/414, 531/160 is
GCF of Numerators i.e. for 883,531 is 1
LCM of denominators i.e. for 414,160 is 33120.
Thus, GCF of Fractions is 1/33120.Finally, GCF of Fractions for 883/414, 531/160 is 1/33120.