GCF of 4355/878, 7015/8810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4355/878, 7015/8810 i.e 5/3867590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4355/878, 7015/8810.
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 4355/878,7015/8810?
Given fractions are 4355/878,7015/8810
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 4355/878,7015/8810, numerators are 4355,7015
Denominators are 878,8810
The GCF of 4355,7015 is 5 .
LCM of 878,8810 is 3867590.
The greatest common factor of 4355/878,7015/8810 = [GCF of 4355,7015]/[LCM of 878,8810]= 5/3867590
Therefore, the GCF of 4355/878,7015/8810 is 5/3867590.
To find the highest common factor of 4355,7015, we have to find the factors of both numbers and list the highest common factor.
The factors of 4355 are 1, 5, 13, 65, 67, 335, 871, 4355
The factors of 7015 are 1, 5, 23, 61, 115, 305, 1403, 7015
The HCF of 4355,7015 is 5.
Lets's calculate GCF of 4355,7015
| 5 | 4355, 7015 |
| 871, 1403 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4355,7015 By Matching Biggest Common Factor Method
Now, list down the factors of 4355
:1,5,13,65,67,335,871,4355
Now, list down the factors of 7015
:1,5,23,61,115,305,1403,7015
Greatest Common Factor
We found the factors 4355,7015 . The biggest common factor number is the GCF number.
So the greatest common factor 4355,7015 is 5.
Lets's calculate LCM of 878,8810
| 2 | 878, 8810 |
| 439, 4405 |
∴ So the LCM of the given numbers is 2 x 439 x 4405 = 3867590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3867590
Therefore, the GCF of Fractions 4355/878,7015/8810 is 5/3867590
Least Common Multiple of 878,8810 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 878,8810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,8810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,8810) x common factors =2 x 1 = 2
LCM(878,8810) = ( 878 × 8810 ) / 2
LCM(878,8810) = 7735180 / 2
LCM(878,8810) = 3867590
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FAQs on GCF of Fractions of 4355/878, 7015/8810
1. What is the HCF of 4355,7015?
The HCF of 4355,7015 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 4355/878, 7015/8810?
Answer: GCF of Numerators as per given numbers 4355/878, 7015/8810 is
GCF of Numerators i.e. for 4355,7015 is 5
LCM of denominators i.e. for 878,8810 is 3867590.
Thus, GCF of Fractions is 5/3867590.Finally, GCF of Fractions for 4355/878, 7015/8810 is 5/3867590.