GCF of 7633/476, 5623/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7633/476, 5623/530 i.e 1/126140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7633/476, 5623/530.
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 7633/476,5623/530?
Given fractions are 7633/476,5623/530
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 7633/476,5623/530, numerators are 7633,5623
Denominators are 476,530
The GCF of 7633,5623 is 1 .
LCM of 476,530 is 126140.
The greatest common factor of 7633/476,5623/530 = [GCF of 7633,5623]/[LCM of 476,530]= 1/126140
Therefore, the GCF of 7633/476,5623/530 is 1/126140.
To find the highest common factor of 7633,5623, we have to find the factors of both numbers and list the highest common factor.
The factors of 7633 are 1, 17, 449, 7633
The factors of 5623 are 1, 5623
The HCF of 7633,5623 is 1.
Lets's calculate GCF of 7633,5623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7633,5623 By Matching Biggest Common Factor Method
Now, list down the factors of 7633
:1,17,449,7633
Now, list down the factors of 5623
:1,5623
Greatest Common Factor
We found the factors 7633,5623 . The biggest common factor number is the GCF number.
So the greatest common factor 7633,5623 is 1.
Lets's calculate LCM of 476,530
| 2 | 476, 530 |
| 238, 265 |
∴ So the LCM of the given numbers is 2 x 238 x 265 = 126140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126140
Therefore, the GCF of Fractions 7633/476,5623/530 is 1/126140
Least Common Multiple of 476,530 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 476,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,530) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,530) x common factors =2 x 1 = 2
LCM(476,530) = ( 476 × 530 ) / 2
LCM(476,530) = 252280 / 2
LCM(476,530) = 126140
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FAQs on GCF of Fractions of 7633/476, 5623/530
1. What is the HCF of 7633,5623?
The HCF of 7633,5623 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 7633/476, 5623/530?
Answer: GCF of Numerators as per given numbers 7633/476, 5623/530 is
GCF of Numerators i.e. for 7633,5623 is 1
LCM of denominators i.e. for 476,530 is 126140.
Thus, GCF of Fractions is 1/126140.Finally, GCF of Fractions for 7633/476, 5623/530 is 1/126140.