GCF of 8862/625, 8840/3014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8862/625, 8840/3014 i.e 2/1883750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8862/625, 8840/3014.
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 8862/625,8840/3014?
Given fractions are 8862/625,8840/3014
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 8862/625,8840/3014, numerators are 8862,8840
Denominators are 625,3014
The GCF of 8862,8840 is 2 .
LCM of 625,3014 is 1883750.
The greatest common factor of 8862/625,8840/3014 = [GCF of 8862,8840]/[LCM of 625,3014]= 2/1883750
Therefore, the GCF of 8862/625,8840/3014 is 2/1883750.
To find the highest common factor of 8862,8840, we have to find the factors of both numbers and list the highest common factor.
The factors of 8862 are 1, 2, 3, 6, 7, 14, 21, 42, 211, 422, 633, 1266, 1477, 2954, 4431, 8862
The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840
The HCF of 8862,8840 is 2.
Lets's calculate GCF of 8862,8840
| 2 | 8862, 8840 |
| 4431, 4420 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8862,8840 By Matching Biggest Common Factor Method
Now, list down the factors of 8862
:1,2,3,6,7,14,21,42,211,422,633,1266,1477,2954,4431,8862
Now, list down the factors of 8840
:1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840
Greatest Common Factor
We found the factors 8862,8840 . The biggest common factor number is the GCF number.
So the greatest common factor 8862,8840 is 2.
Lets's calculate LCM of 625,3014
Given numbers has no common factors except 1. So, there LCM is their product i.e 1883750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1883750
Therefore, the GCF of Fractions 8862/625,8840/3014 is 2/1883750
Least Common Multiple of 625,3014 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 625,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,3014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,3014) x common factors =1 x 1 = 1
LCM(625,3014) = ( 625 × 3014 ) / 1
LCM(625,3014) = 1883750 / 1
LCM(625,3014) = 1883750
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FAQs on GCF of Fractions of 8862/625, 8840/3014
1. What is the HCF of 8862,8840?
The HCF of 8862,8840 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 8862/625, 8840/3014?
Answer: GCF of Numerators as per given numbers 8862/625, 8840/3014 is
GCF of Numerators i.e. for 8862,8840 is 2
LCM of denominators i.e. for 625,3014 is 1883750.
Thus, GCF of Fractions is 2/1883750.Finally, GCF of Fractions for 8862/625, 8840/3014 is 2/1883750.