GCF of 920/646, 207/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 920/646, 207/346 i.e 23/111758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/646, 207/346.
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 920/646,207/346?
Given fractions are 920/646,207/346
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 920/646,207/346, numerators are 920,207
Denominators are 646,346
The GCF of 920,207 is 23 .
LCM of 646,346 is 111758.
The greatest common factor of 920/646,207/346 = [GCF of 920,207]/[LCM of 646,346]= 23/111758
Therefore, the GCF of 920/646,207/346 is 23/111758.
To find the highest common factor of 920,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 920,207 is 23.
Lets's calculate GCF of 920,207
| 23 | 920, 207 |
| 40, 9 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 920,207 By Matching Biggest Common Factor Method
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 920,207 . The biggest common factor number is the GCF number.
So the greatest common factor 920,207 is 23.
Lets's calculate LCM of 646,346
| 2 | 646, 346 |
| 323, 173 |
∴ So the LCM of the given numbers is 2 x 323 x 173 = 111758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/111758
Therefore, the GCF of Fractions 920/646,207/346 is 23/111758
Least Common Multiple of 646,346 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 646,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,346) x common factors =2 x 1 = 2
LCM(646,346) = ( 646 × 346 ) / 2
LCM(646,346) = 223516 / 2
LCM(646,346) = 111758
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 920/646, 207/346
1. What is the HCF of 920,207?
The HCF of 920,207 is 23
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 920/646, 207/346?
Answer: GCF of Numerators as per given numbers 920/646, 207/346 is
GCF of Numerators i.e. for 920,207 is 23
LCM of denominators i.e. for 646,346 is 111758.
Thus, GCF of Fractions is 23/111758.Finally, GCF of Fractions for 920/646, 207/346 is 23/111758.