GCF of 4076/173, 8514/8520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4076/173, 8514/8520 i.e 2/1473960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4076/173, 8514/8520.
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 4076/173,8514/8520?
Given fractions are 4076/173,8514/8520
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 4076/173,8514/8520, numerators are 4076,8514
Denominators are 173,8520
The GCF of 4076,8514 is 2 .
LCM of 173,8520 is 1473960.
The greatest common factor of 4076/173,8514/8520 = [GCF of 4076,8514]/[LCM of 173,8520]= 2/1473960
Therefore, the GCF of 4076/173,8514/8520 is 2/1473960.
To find the highest common factor of 4076,8514, we have to find the factors of both numbers and list the highest common factor.
The factors of 4076 are 1, 2, 4, 1019, 2038, 4076
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 4076,8514 is 2.
Lets's calculate GCF of 4076,8514
| 2 | 4076, 8514 |
| 2038, 4257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4076,8514 By Matching Biggest Common Factor Method
Now, list down the factors of 4076
:1,2,4,1019,2038,4076
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 4076,8514 . The biggest common factor number is the GCF number.
So the greatest common factor 4076,8514 is 2.
Lets's calculate LCM of 173,8520
Given numbers has no common factors except 1. So, there LCM is their product i.e 1473960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1473960
Therefore, the GCF of Fractions 4076/173,8514/8520 is 2/1473960
Least Common Multiple of 173,8520 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 173,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,8520) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,8520) x common factors =1 x 1 = 1
LCM(173,8520) = ( 173 × 8520 ) / 1
LCM(173,8520) = 1473960 / 1
LCM(173,8520) = 1473960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4076/173, 8514/8520
1. What is the HCF of 4076,8514?
The HCF of 4076,8514 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 4076/173, 8514/8520?
Answer: GCF of Numerators as per given numbers 4076/173, 8514/8520 is
GCF of Numerators i.e. for 4076,8514 is 2
LCM of denominators i.e. for 173,8520 is 1473960.
Thus, GCF of Fractions is 2/1473960.Finally, GCF of Fractions for 4076/173, 8514/8520 is 2/1473960.