GCF of 7014/490, 8708/699
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7014/490, 8708/699 i.e 14/342510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7014/490, 8708/699.
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 7014/490,8708/699?
Given fractions are 7014/490,8708/699
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 7014/490,8708/699, numerators are 7014,8708
Denominators are 490,699
The GCF of 7014,8708 is 14 .
LCM of 490,699 is 342510.
The greatest common factor of 7014/490,8708/699 = [GCF of 7014,8708]/[LCM of 490,699]= 14/342510
Therefore, the GCF of 7014/490,8708/699 is 14/342510.
To find the highest common factor of 7014,8708, we have to find the factors of both numbers and list the highest common factor.
The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014
The factors of 8708 are 1, 2, 4, 7, 14, 28, 311, 622, 1244, 2177, 4354, 8708
The HCF of 7014,8708 is 14.
Lets's calculate GCF of 7014,8708
| 2 | 7014, 8708 |
| 7 | 3507, 4354 |
| 501, 622 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 7014,8708 By Matching Biggest Common Factor Method
Now, list down the factors of 7014
:1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014
Now, list down the factors of 8708
:1,2,4,7,14,28,311,622,1244,2177,4354,8708
Greatest Common Factor
We found the factors 7014,8708 . The biggest common factor number is the GCF number.
So the greatest common factor 7014,8708 is 14.
Lets's calculate LCM of 490,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 342510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/342510
Therefore, the GCF of Fractions 7014/490,8708/699 is 14/342510
Least Common Multiple of 490,699 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 490,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,699) x common factors =1 x 1 = 1
LCM(490,699) = ( 490 × 699 ) / 1
LCM(490,699) = 342510 / 1
LCM(490,699) = 342510
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FAQs on GCF of Fractions of 7014/490, 8708/699
1. What is the HCF of 7014,8708?
The HCF of 7014,8708 is 14
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 7014/490, 8708/699?
Answer: GCF of Numerators as per given numbers 7014/490, 8708/699 is
GCF of Numerators i.e. for 7014,8708 is 14
LCM of denominators i.e. for 490,699 is 342510.
Thus, GCF of Fractions is 14/342510.Finally, GCF of Fractions for 7014/490, 8708/699 is 14/342510.