GCF of 453/382, 3020/522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 453/382, 3020/522 i.e 151/99702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 453/382, 3020/522.
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 453/382,3020/522?
Given fractions are 453/382,3020/522
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 453/382,3020/522, numerators are 453,3020
Denominators are 382,522
The GCF of 453,3020 is 151 .
LCM of 382,522 is 99702.
The greatest common factor of 453/382,3020/522 = [GCF of 453,3020]/[LCM of 382,522]= 151/99702
Therefore, the GCF of 453/382,3020/522 is 151/99702.
To find the highest common factor of 453,3020, we have to find the factors of both numbers and list the highest common factor.
The factors of 453 are 1, 3, 151, 453
The factors of 3020 are 1, 2, 4, 5, 10, 20, 151, 302, 604, 755, 1510, 3020
The HCF of 453,3020 is 151.
Lets's calculate GCF of 453,3020
| 151 | 453, 3020 |
| 3, 20 |
∴ So the GCF of the given numbers is 151 = 151
Greatest Common Factor of 453,3020 By Matching Biggest Common Factor Method
Now, list down the factors of 453
:1,3,151,453
Now, list down the factors of 3020
:1,2,4,5,10,20,151,302,604,755,1510,3020
Greatest Common Factor
We found the factors 453,3020 . The biggest common factor number is the GCF number.
So the greatest common factor 453,3020 is 151.
Lets's calculate LCM of 382,522
| 2 | 382, 522 |
| 191, 261 |
∴ So the LCM of the given numbers is 2 x 191 x 261 = 99702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 151/99702
Therefore, the GCF of Fractions 453/382,3020/522 is 151/99702
Least Common Multiple of 382,522 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 382,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,522) x common factors =2 x 1 = 2
LCM(382,522) = ( 382 × 522 ) / 2
LCM(382,522) = 199404 / 2
LCM(382,522) = 99702
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FAQs on GCF of Fractions of 453/382, 3020/522
1. What is the HCF of 453,3020?
The HCF of 453,3020 is 151
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 453/382, 3020/522?
Answer: GCF of Numerators as per given numbers 453/382, 3020/522 is
GCF of Numerators i.e. for 453,3020 is 151
LCM of denominators i.e. for 382,522 is 99702.
Thus, GCF of Fractions is 151/99702.Finally, GCF of Fractions for 453/382, 3020/522 is 151/99702.