GCF of 275/85, 740/6517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 275/85, 740/6517 i.e 5/553945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/85, 740/6517.
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 275/85,740/6517?
Given fractions are 275/85,740/6517
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 275/85,740/6517, numerators are 275,740
Denominators are 85,6517
The GCF of 275,740 is 5 .
LCM of 85,6517 is 553945.
The greatest common factor of 275/85,740/6517 = [GCF of 275,740]/[LCM of 85,6517]= 5/553945
Therefore, the GCF of 275/85,740/6517 is 5/553945.
To find the highest common factor of 275,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 275,740 is 5.
Lets's calculate GCF of 275,740
| 5 | 275, 740 |
| 55, 148 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 275,740 By Matching Biggest Common Factor Method
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 275,740 . The biggest common factor number is the GCF number.
So the greatest common factor 275,740 is 5.
Lets's calculate LCM of 85,6517
Given numbers has no common factors except 1. So, there LCM is their product i.e 553945
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/553945
Therefore, the GCF of Fractions 275/85,740/6517 is 5/553945
Least Common Multiple of 85,6517 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 85,6517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,6517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,6517) x common factors =1 x 1 = 1
LCM(85,6517) = ( 85 × 6517 ) / 1
LCM(85,6517) = 553945 / 1
LCM(85,6517) = 553945
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 275/85, 740/6517
1. What is the HCF of 275,740?
The HCF of 275,740 is 5
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 275/85, 740/6517?
Answer: GCF of Numerators as per given numbers 275/85, 740/6517 is
GCF of Numerators i.e. for 275,740 is 5
LCM of denominators i.e. for 85,6517 is 553945.
Thus, GCF of Fractions is 5/553945.Finally, GCF of Fractions for 275/85, 740/6517 is 5/553945.