GCF of 8875/730, 4230/5762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8875/730, 4230/5762 i.e 5/2103130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8875/730, 4230/5762.
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 8875/730,4230/5762?
Given fractions are 8875/730,4230/5762
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 8875/730,4230/5762, numerators are 8875,4230
Denominators are 730,5762
The GCF of 8875,4230 is 5 .
LCM of 730,5762 is 2103130.
The greatest common factor of 8875/730,4230/5762 = [GCF of 8875,4230]/[LCM of 730,5762]= 5/2103130
Therefore, the GCF of 8875/730,4230/5762 is 5/2103130.
To find the highest common factor of 8875,4230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875
The factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230
The HCF of 8875,4230 is 5.
Lets's calculate GCF of 8875,4230
| 5 | 8875, 4230 |
| 1775, 846 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8875,4230 By Matching Biggest Common Factor Method
Now, list down the factors of 8875
:1,5,25,71,125,355,1775,8875
Now, list down the factors of 4230
:1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230
Greatest Common Factor
We found the factors 8875,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 8875,4230 is 5.
Lets's calculate LCM of 730,5762
| 2 | 730, 5762 |
| 365, 2881 |
∴ So the LCM of the given numbers is 2 x 365 x 2881 = 2103130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2103130
Therefore, the GCF of Fractions 8875/730,4230/5762 is 5/2103130
Least Common Multiple of 730,5762 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 730,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,5762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,5762) x common factors =2 x 1 = 2
LCM(730,5762) = ( 730 × 5762 ) / 2
LCM(730,5762) = 4206260 / 2
LCM(730,5762) = 2103130
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FAQs on GCF of Fractions of 8875/730, 4230/5762
1. What is the HCF of 8875,4230?
The HCF of 8875,4230 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 8875/730, 4230/5762?
Answer: GCF of Numerators as per given numbers 8875/730, 4230/5762 is
GCF of Numerators i.e. for 8875,4230 is 5
LCM of denominators i.e. for 730,5762 is 2103130.
Thus, GCF of Fractions is 5/2103130.Finally, GCF of Fractions for 8875/730, 4230/5762 is 5/2103130.