GCF of 4685/678, 7021/5000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4685/678, 7021/5000 i.e 1/1695000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4685/678, 7021/5000.
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 4685/678,7021/5000?
Given fractions are 4685/678,7021/5000
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 4685/678,7021/5000, numerators are 4685,7021
Denominators are 678,5000
The GCF of 4685,7021 is 1 .
LCM of 678,5000 is 1695000.
The greatest common factor of 4685/678,7021/5000 = [GCF of 4685,7021]/[LCM of 678,5000]= 1/1695000
Therefore, the GCF of 4685/678,7021/5000 is 1/1695000.
To find the highest common factor of 4685,7021, we have to find the factors of both numbers and list the highest common factor.
The factors of 4685 are 1, 5, 937, 4685
The factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021
The HCF of 4685,7021 is 1.
Lets's calculate GCF of 4685,7021
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4685,7021 By Matching Biggest Common Factor Method
Now, list down the factors of 4685
:1,5,937,4685
Now, list down the factors of 7021
:1,7,17,59,119,413,1003,7021
Greatest Common Factor
We found the factors 4685,7021 . The biggest common factor number is the GCF number.
So the greatest common factor 4685,7021 is 1.
Lets's calculate LCM of 678,5000
| 2 | 678, 5000 |
| 339, 2500 |
∴ So the LCM of the given numbers is 2 x 339 x 2500 = 1695000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1695000
Therefore, the GCF of Fractions 4685/678,7021/5000 is 1/1695000
Least Common Multiple of 678,5000 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 678,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,5000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,5000) x common factors =2 x 1 = 2
LCM(678,5000) = ( 678 × 5000 ) / 2
LCM(678,5000) = 3390000 / 2
LCM(678,5000) = 1695000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4685/678, 7021/5000
1. What is the HCF of 4685,7021?
The HCF of 4685,7021 is 1
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 4685/678, 7021/5000?
Answer: GCF of Numerators as per given numbers 4685/678, 7021/5000 is
GCF of Numerators i.e. for 4685,7021 is 1
LCM of denominators i.e. for 678,5000 is 1695000.
Thus, GCF of Fractions is 1/1695000.Finally, GCF of Fractions for 4685/678, 7021/5000 is 1/1695000.