GCF of 5425/588, 6520/7700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5425/588, 6520/7700 i.e 5/161700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5425/588, 6520/7700.
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 5425/588,6520/7700?
Given fractions are 5425/588,6520/7700
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 5425/588,6520/7700, numerators are 5425,6520
Denominators are 588,7700
The GCF of 5425,6520 is 5 .
LCM of 588,7700 is 161700.
The greatest common factor of 5425/588,6520/7700 = [GCF of 5425,6520]/[LCM of 588,7700]= 5/161700
Therefore, the GCF of 5425/588,6520/7700 is 5/161700.
To find the highest common factor of 5425,6520, we have to find the factors of both numbers and list the highest common factor.
The factors of 5425 are 1, 5, 7, 25, 31, 35, 155, 175, 217, 775, 1085, 5425
The factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520
The HCF of 5425,6520 is 5.
Lets's calculate GCF of 5425,6520
| 5 | 5425, 6520 |
| 1085, 1304 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5425,6520 By Matching Biggest Common Factor Method
Now, list down the factors of 5425
:1,5,7,25,31,35,155,175,217,775,1085,5425
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 5425,6520 . The biggest common factor number is the GCF number.
So the greatest common factor 5425,6520 is 5.
Lets's calculate LCM of 588,7700
| 2 | 588, 7700 |
| 2 | 294, 3850 |
| 7 | 147, 1925 |
| 21, 275 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 21 x 275 = 161700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/161700
Therefore, the GCF of Fractions 5425/588,6520/7700 is 5/161700
Least Common Multiple of 588,7700 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 588,7700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,7700) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(588,7700) x common factors =28 x 1 = 28
LCM(588,7700) = ( 588 × 7700 ) / 28
LCM(588,7700) = 4527600 / 28
LCM(588,7700) = 161700
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FAQs on GCF of Fractions of 5425/588, 6520/7700
1. What is the HCF of 5425,6520?
The HCF of 5425,6520 is 5
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 5425/588, 6520/7700?
Answer: GCF of Numerators as per given numbers 5425/588, 6520/7700 is
GCF of Numerators i.e. for 5425,6520 is 5
LCM of denominators i.e. for 588,7700 is 161700.
Thus, GCF of Fractions is 5/161700.Finally, GCF of Fractions for 5425/588, 6520/7700 is 5/161700.