GCF of 4870/239, 1340/1307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4870/239, 1340/1307 i.e 10/312373 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/239, 1340/1307.
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 4870/239,1340/1307?
Given fractions are 4870/239,1340/1307
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 4870/239,1340/1307, numerators are 4870,1340
Denominators are 239,1307
The GCF of 4870,1340 is 10 .
LCM of 239,1307 is 312373.
The greatest common factor of 4870/239,1340/1307 = [GCF of 4870,1340]/[LCM of 239,1307]= 10/312373
Therefore, the GCF of 4870/239,1340/1307 is 10/312373.
To find the highest common factor of 4870,1340, we have to find the factors of both numbers and list the highest common factor.
The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870
The factors of 1340 are 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
The HCF of 4870,1340 is 10.
Lets's calculate GCF of 4870,1340
| 2 | 4870, 1340 |
| 5 | 2435, 670 |
| 487, 134 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4870,1340 By Matching Biggest Common Factor Method
Now, list down the factors of 4870
:1,2,5,10,487,974,2435,4870
Now, list down the factors of 1340
:1,2,4,5,10,20,67,134,268,335,670,1340
Greatest Common Factor
We found the factors 4870,1340 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,1340 is 10.
Lets's calculate LCM of 239,1307
Given numbers has no common factors except 1. So, there LCM is their product i.e 312373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/312373
Therefore, the GCF of Fractions 4870/239,1340/1307 is 10/312373
Least Common Multiple of 239,1307 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 239,1307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,1307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,1307) x common factors =1 x 1 = 1
LCM(239,1307) = ( 239 × 1307 ) / 1
LCM(239,1307) = 312373 / 1
LCM(239,1307) = 312373
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FAQs on GCF of Fractions of 4870/239, 1340/1307
1. What is the HCF of 4870,1340?
The HCF of 4870,1340 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 4870/239, 1340/1307?
Answer: GCF of Numerators as per given numbers 4870/239, 1340/1307 is
GCF of Numerators i.e. for 4870,1340 is 10
LCM of denominators i.e. for 239,1307 is 312373.
Thus, GCF of Fractions is 10/312373.Finally, GCF of Fractions for 4870/239, 1340/1307 is 10/312373.