GCF of 736/67, 920/6501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 736/67, 920/6501 i.e 184/435567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 736/67, 920/6501.
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 736/67,920/6501?
Given fractions are 736/67,920/6501
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 736/67,920/6501, numerators are 736,920
Denominators are 67,6501
The GCF of 736,920 is 184 .
LCM of 67,6501 is 435567.
The greatest common factor of 736/67,920/6501 = [GCF of 736,920]/[LCM of 67,6501]= 184/435567
Therefore, the GCF of 736/67,920/6501 is 184/435567.
To find the highest common factor of 736,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 736,920 is 184.
Lets's calculate GCF of 736,920
| 2 | 736, 920 |
| 2 | 368, 460 |
| 2 | 184, 230 |
| 23 | 92, 115 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 23 = 184
Greatest Common Factor of 736,920 By Matching Biggest Common Factor Method
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 736,920 . The biggest common factor number is the GCF number.
So the greatest common factor 736,920 is 184.
Lets's calculate LCM of 67,6501
Given numbers has no common factors except 1. So, there LCM is their product i.e 435567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 184/435567
Therefore, the GCF of Fractions 736/67,920/6501 is 184/435567
Least Common Multiple of 67,6501 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 67,6501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,6501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,6501) x common factors =1 x 1 = 1
LCM(67,6501) = ( 67 × 6501 ) / 1
LCM(67,6501) = 435567 / 1
LCM(67,6501) = 435567
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 736/67, 920/6501
1. What is the HCF of 736,920?
The HCF of 736,920 is 184
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 736/67, 920/6501?
Answer: GCF of Numerators as per given numbers 736/67, 920/6501 is
GCF of Numerators i.e. for 736,920 is 184
LCM of denominators i.e. for 67,6501 is 435567.
Thus, GCF of Fractions is 184/435567.Finally, GCF of Fractions for 736/67, 920/6501 is 184/435567.