GCF of 277/71, 680/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 277/71, 680/474 i.e 1/33654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 277/71, 680/474.
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 277/71,680/474?
Given fractions are 277/71,680/474
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 277/71,680/474, numerators are 277,680
Denominators are 71,474
The GCF of 277,680 is 1 .
LCM of 71,474 is 33654.
The greatest common factor of 277/71,680/474 = [GCF of 277,680]/[LCM of 71,474]= 1/33654
Therefore, the GCF of 277/71,680/474 is 1/33654.
To find the highest common factor of 277,680, we have to find the factors of both numbers and list the highest common factor.
The factors of 277 are 1, 277
The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
The HCF of 277,680 is 1.
Lets's calculate GCF of 277,680
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 277,680 By Matching Biggest Common Factor Method
Now, list down the factors of 277
:1,277
Now, list down the factors of 680
:1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 277,680 . The biggest common factor number is the GCF number.
So the greatest common factor 277,680 is 1.
Lets's calculate LCM of 71,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 33654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33654
Therefore, the GCF of Fractions 277/71,680/474 is 1/33654
Least Common Multiple of 71,474 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 71,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,474) x common factors =1 x 1 = 1
LCM(71,474) = ( 71 × 474 ) / 1
LCM(71,474) = 33654 / 1
LCM(71,474) = 33654
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 277/71, 680/474
1. What is the HCF of 277,680?
The HCF of 277,680 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 277/71, 680/474?
Answer: GCF of Numerators as per given numbers 277/71, 680/474 is
GCF of Numerators i.e. for 277,680 is 1
LCM of denominators i.e. for 71,474 is 33654.
Thus, GCF of Fractions is 1/33654.Finally, GCF of Fractions for 277/71, 680/474 is 1/33654.