GCF of 7010/310, 2314/1615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7010/310, 2314/1615 i.e 2/100130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7010/310, 2314/1615.
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 7010/310,2314/1615?
Given fractions are 7010/310,2314/1615
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 7010/310,2314/1615, numerators are 7010,2314
Denominators are 310,1615
The GCF of 7010,2314 is 2 .
LCM of 310,1615 is 100130.
The greatest common factor of 7010/310,2314/1615 = [GCF of 7010,2314]/[LCM of 310,1615]= 2/100130
Therefore, the GCF of 7010/310,2314/1615 is 2/100130.
To find the highest common factor of 7010,2314, we have to find the factors of both numbers and list the highest common factor.
The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The HCF of 7010,2314 is 2.
Lets's calculate GCF of 7010,2314
| 2 | 7010, 2314 |
| 3505, 1157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7010,2314 By Matching Biggest Common Factor Method
Now, list down the factors of 7010
:1,2,5,10,701,1402,3505,7010
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 7010,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 7010,2314 is 2.
Lets's calculate LCM of 310,1615
| 5 | 310, 1615 |
| 62, 323 |
∴ So the LCM of the given numbers is 5 x 62 x 323 = 100130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/100130
Therefore, the GCF of Fractions 7010/310,2314/1615 is 2/100130
Least Common Multiple of 310,1615 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 310,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,1615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(310,1615) x common factors =5 x 1 = 5
LCM(310,1615) = ( 310 × 1615 ) / 5
LCM(310,1615) = 500650 / 5
LCM(310,1615) = 100130
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FAQs on GCF of Fractions of 7010/310, 2314/1615
1. What is the HCF of 7010,2314?
The HCF of 7010,2314 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 7010/310, 2314/1615?
Answer: GCF of Numerators as per given numbers 7010/310, 2314/1615 is
GCF of Numerators i.e. for 7010,2314 is 2
LCM of denominators i.e. for 310,1615 is 100130.
Thus, GCF of Fractions is 2/100130.Finally, GCF of Fractions for 7010/310, 2314/1615 is 2/100130.