GCF of 5270/575, 8632/6268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5270/575, 8632/6268 i.e 2/3604100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5270/575, 8632/6268.
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 5270/575,8632/6268?
Given fractions are 5270/575,8632/6268
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 5270/575,8632/6268, numerators are 5270,8632
Denominators are 575,6268
The GCF of 5270,8632 is 2 .
LCM of 575,6268 is 3604100.
The greatest common factor of 5270/575,8632/6268 = [GCF of 5270,8632]/[LCM of 575,6268]= 2/3604100
Therefore, the GCF of 5270/575,8632/6268 is 2/3604100.
To find the highest common factor of 5270,8632, we have to find the factors of both numbers and list the highest common factor.
The factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270
The factors of 8632 are 1, 2, 4, 8, 13, 26, 52, 83, 104, 166, 332, 664, 1079, 2158, 4316, 8632
The HCF of 5270,8632 is 2.
Lets's calculate GCF of 5270,8632
| 2 | 5270, 8632 |
| 2635, 4316 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5270,8632 By Matching Biggest Common Factor Method
Now, list down the factors of 5270
:1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270
Now, list down the factors of 8632
:1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632
Greatest Common Factor
We found the factors 5270,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 5270,8632 is 2.
Lets's calculate LCM of 575,6268
Given numbers has no common factors except 1. So, there LCM is their product i.e 3604100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3604100
Therefore, the GCF of Fractions 5270/575,8632/6268 is 2/3604100
Least Common Multiple of 575,6268 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 575,6268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,6268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,6268) x common factors =1 x 1 = 1
LCM(575,6268) = ( 575 × 6268 ) / 1
LCM(575,6268) = 3604100 / 1
LCM(575,6268) = 3604100
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FAQs on GCF of Fractions of 5270/575, 8632/6268
1. What is the HCF of 5270,8632?
The HCF of 5270,8632 is 2
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 5270/575, 8632/6268?
Answer: GCF of Numerators as per given numbers 5270/575, 8632/6268 is
GCF of Numerators i.e. for 5270,8632 is 2
LCM of denominators i.e. for 575,6268 is 3604100.
Thus, GCF of Fractions is 2/3604100.Finally, GCF of Fractions for 5270/575, 8632/6268 is 2/3604100.