GCF of 8030/719, 8514/6703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8030/719, 8514/6703 i.e 22/4819457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8030/719, 8514/6703.
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 8030/719,8514/6703?
Given fractions are 8030/719,8514/6703
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 8030/719,8514/6703, numerators are 8030,8514
Denominators are 719,6703
The GCF of 8030,8514 is 22 .
LCM of 719,6703 is 4819457.
The greatest common factor of 8030/719,8514/6703 = [GCF of 8030,8514]/[LCM of 719,6703]= 22/4819457
Therefore, the GCF of 8030/719,8514/6703 is 22/4819457.
To find the highest common factor of 8030,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 8030 are 1, 2, 5, 10, 11, 22, 55, 73, 110, 146, 365, 730, 803, 1606, 4015, 8030
The factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514
The HCF of 8030,8514 is 22.
Lets's calculate GCF of 8030,8514
| 2 | 8030, 8514 |
| 11 | 4015, 4257 |
| 365, 387 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 8030,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 8030
:1,2,5,10,11,22,55,73,110,146,365,730,803,1606,4015,8030
Now, list down the factors of 8514
:1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514
Greatest Common Factor
We found the factors 8030,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 8030,8514 is 22.
Lets's calculate LCM of 719,6703
Given numbers has no common factors except 1. So, there LCM is their product i.e 4819457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4819457
Therefore, the GCF of Fractions 8030/719,8514/6703 is 22/4819457
Least Common Multiple of 719,6703 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 719,6703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,6703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,6703) x common factors =1 x 1 = 1
LCM(719,6703) = ( 719 × 6703 ) / 1
LCM(719,6703) = 4819457 / 1
LCM(719,6703) = 4819457
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FAQs on GCF of Fractions of 8030/719, 8514/6703
1. What is the HCF of 8030,8514?
The HCF of 8030,8514 is 22
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 8030/719, 8514/6703?
Answer: GCF of Numerators as per given numbers 8030/719, 8514/6703 is
GCF of Numerators i.e. for 8030,8514 is 22
LCM of denominators i.e. for 719,6703 is 4819457.
Thus, GCF of Fractions is 22/4819457.Finally, GCF of Fractions for 8030/719, 8514/6703 is 22/4819457.