GCF of 2330/908, 8710/2701
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2330/908, 8710/2701 i.e 10/2452508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2330/908, 8710/2701.
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 2330/908,8710/2701?
Given fractions are 2330/908,8710/2701
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 2330/908,8710/2701, numerators are 2330,8710
Denominators are 908,2701
The GCF of 2330,8710 is 10 .
LCM of 908,2701 is 2452508.
The greatest common factor of 2330/908,8710/2701 = [GCF of 2330,8710]/[LCM of 908,2701]= 10/2452508
Therefore, the GCF of 2330/908,8710/2701 is 10/2452508.
To find the highest common factor of 2330,8710, we have to find the factors of both numbers and list the highest common factor.
The factors of 2330 are 1, 2, 5, 10, 233, 466, 1165, 2330
The factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710
The HCF of 2330,8710 is 10.
Lets's calculate GCF of 2330,8710
| 2 | 2330, 8710 |
| 5 | 1165, 4355 |
| 233, 871 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2330,8710 By Matching Biggest Common Factor Method
Now, list down the factors of 2330
:1,2,5,10,233,466,1165,2330
Now, list down the factors of 8710
:1,2,5,10,13,26,65,67,130,134,335,670,871,1742,4355,8710
Greatest Common Factor
We found the factors 2330,8710 . The biggest common factor number is the GCF number.
So the greatest common factor 2330,8710 is 10.
Lets's calculate LCM of 908,2701
Given numbers has no common factors except 1. So, there LCM is their product i.e 2452508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2452508
Therefore, the GCF of Fractions 2330/908,8710/2701 is 10/2452508
Least Common Multiple of 908,2701 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 908,2701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,2701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(908,2701) x common factors =1 x 1 = 1
LCM(908,2701) = ( 908 × 2701 ) / 1
LCM(908,2701) = 2452508 / 1
LCM(908,2701) = 2452508
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FAQs on GCF of Fractions of 2330/908, 8710/2701
1. What is the HCF of 2330,8710?
The HCF of 2330,8710 is 10
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 2330/908, 8710/2701?
Answer: GCF of Numerators as per given numbers 2330/908, 8710/2701 is
GCF of Numerators i.e. for 2330,8710 is 10
LCM of denominators i.e. for 908,2701 is 2452508.
Thus, GCF of Fractions is 10/2452508.Finally, GCF of Fractions for 2330/908, 8710/2701 is 10/2452508.