GCF of 8020/476, 6520/7378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8020/476, 6520/7378 i.e 20/14756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8020/476, 6520/7378.
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 8020/476,6520/7378?
Given fractions are 8020/476,6520/7378
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 8020/476,6520/7378, numerators are 8020,6520
Denominators are 476,7378
The GCF of 8020,6520 is 20 .
LCM of 476,7378 is 14756.
The greatest common factor of 8020/476,6520/7378 = [GCF of 8020,6520]/[LCM of 476,7378]= 20/14756
Therefore, the GCF of 8020/476,6520/7378 is 20/14756.
To find the highest common factor of 8020,6520, we have to find the factors of both numbers and list the highest common factor.
The factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The HCF of 8020,6520 is 20.
Lets's calculate GCF of 8020,6520
| 2 | 8020, 6520 |
| 2 | 4010, 3260 |
| 5 | 2005, 1630 |
| 401, 326 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8020,6520 By Matching Biggest Common Factor Method
Now, list down the factors of 8020
:1,2,4,5,10,20,401,802,1604,2005,4010,8020
Now, list down the factors of 6520
:1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520
Greatest Common Factor
We found the factors 8020,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 8020,6520 is 20.
Lets's calculate LCM of 476,7378
| 2 | 476, 7378 |
| 7 | 238, 3689 |
| 17 | 34, 527 |
| 2, 31 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 2 x 31 = 14756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/14756
Therefore, the GCF of Fractions 8020/476,6520/7378 is 20/14756
Least Common Multiple of 476,7378 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 476,7378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,7378) = 238
common factors(in case of two or more numbers have common factors) = 1
GCF(476,7378) x common factors =238 x 1 = 238
LCM(476,7378) = ( 476 × 7378 ) / 238
LCM(476,7378) = 3511928 / 238
LCM(476,7378) = 14756
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FAQs on GCF of Fractions of 8020/476, 6520/7378
1. What is the HCF of 8020,6520?
The HCF of 8020,6520 is 20
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 8020/476, 6520/7378?
Answer: GCF of Numerators as per given numbers 8020/476, 6520/7378 is
GCF of Numerators i.e. for 8020,6520 is 20
LCM of denominators i.e. for 476,7378 is 14756.
Thus, GCF of Fractions is 20/14756.Finally, GCF of Fractions for 8020/476, 6520/7378 is 20/14756.