GCF of 391/217, 242/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/217, 242/770 i.e 1/23870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/217, 242/770.
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 391/217,242/770?
Given fractions are 391/217,242/770
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 391/217,242/770, numerators are 391,242
Denominators are 217,770
The GCF of 391,242 is 1 .
LCM of 217,770 is 23870.
The greatest common factor of 391/217,242/770 = [GCF of 391,242]/[LCM of 217,770]= 1/23870
Therefore, the GCF of 391/217,242/770 is 1/23870.
To find the highest common factor of 391,242, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 242 are 1, 2, 11, 22, 121, 242
The HCF of 391,242 is 1.
Lets's calculate GCF of 391,242
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 391,242 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 242
:1,2,11,22,121,242
Greatest Common Factor
We found the factors 391,242 . The biggest common factor number is the GCF number.
So the greatest common factor 391,242 is 1.
Lets's calculate LCM of 217,770
| 7 | 217, 770 |
| 31, 110 |
∴ So the LCM of the given numbers is 7 x 31 x 110 = 23870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23870
Therefore, the GCF of Fractions 391/217,242/770 is 1/23870
Least Common Multiple of 217,770 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 217,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,770) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(217,770) x common factors =7 x 1 = 7
LCM(217,770) = ( 217 × 770 ) / 7
LCM(217,770) = 167090 / 7
LCM(217,770) = 23870
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 391/217, 242/770
1. What is the HCF of 391,242?
The HCF of 391,242 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 391/217, 242/770?
Answer: GCF of Numerators as per given numbers 391/217, 242/770 is
GCF of Numerators i.e. for 391,242 is 1
LCM of denominators i.e. for 217,770 is 23870.
Thus, GCF of Fractions is 1/23870.Finally, GCF of Fractions for 391/217, 242/770 is 1/23870.