GCF of 641/10, 290/214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 641/10, 290/214 i.e 1/1070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 641/10, 290/214.
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 641/10,290/214?
Given fractions are 641/10,290/214
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 641/10,290/214, numerators are 641,290
Denominators are 10,214
The GCF of 641,290 is 1 .
LCM of 10,214 is 1070.
The greatest common factor of 641/10,290/214 = [GCF of 641,290]/[LCM of 10,214]= 1/1070
Therefore, the GCF of 641/10,290/214 is 1/1070.
To find the highest common factor of 641,290, we have to find the factors of both numbers and list the highest common factor.
The factors of 641 are 1, 641
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The HCF of 641,290 is 1.
Lets's calculate GCF of 641,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 641,290 By Matching Biggest Common Factor Method
Now, list down the factors of 641
:1,641
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 641,290 . The biggest common factor number is the GCF number.
So the greatest common factor 641,290 is 1.
Lets's calculate LCM of 10,214
| 2 | 10, 214 |
| 5, 107 |
∴ So the LCM of the given numbers is 2 x 5 x 107 = 1070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1070
Therefore, the GCF of Fractions 641/10,290/214 is 1/1070
Least Common Multiple of 10,214 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 10,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,214) x common factors =2 x 1 = 2
LCM(10,214) = ( 10 × 214 ) / 2
LCM(10,214) = 2140 / 2
LCM(10,214) = 1070
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 641/10, 290/214
1. What is the HCF of 641,290?
The HCF of 641,290 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 641/10, 290/214?
Answer: GCF of Numerators as per given numbers 641/10, 290/214 is
GCF of Numerators i.e. for 641,290 is 1
LCM of denominators i.e. for 10,214 is 1070.
Thus, GCF of Fractions is 1/1070.Finally, GCF of Fractions for 641/10, 290/214 is 1/1070.