GCF of 1770/448, 5214/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1770/448, 5214/239 i.e 6/107072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1770/448, 5214/239.
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 1770/448,5214/239?
Given fractions are 1770/448,5214/239
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 1770/448,5214/239, numerators are 1770,5214
Denominators are 448,239
The GCF of 1770,5214 is 6 .
LCM of 448,239 is 107072.
The greatest common factor of 1770/448,5214/239 = [GCF of 1770,5214]/[LCM of 448,239]= 6/107072
Therefore, the GCF of 1770/448,5214/239 is 6/107072.
To find the highest common factor of 1770,5214, we have to find the factors of both numbers and list the highest common factor.
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The factors of 5214 are 1, 2, 3, 6, 11, 22, 33, 66, 79, 158, 237, 474, 869, 1738, 2607, 5214
The HCF of 1770,5214 is 6.
Lets's calculate GCF of 1770,5214
| 2 | 1770, 5214 |
| 3 | 885, 2607 |
| 295, 869 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1770,5214 By Matching Biggest Common Factor Method
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Now, list down the factors of 5214
:1,2,3,6,11,22,33,66,79,158,237,474,869,1738,2607,5214
Greatest Common Factor
We found the factors 1770,5214 . The biggest common factor number is the GCF number.
So the greatest common factor 1770,5214 is 6.
Lets's calculate LCM of 448,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 107072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/107072
Therefore, the GCF of Fractions 1770/448,5214/239 is 6/107072
Least Common Multiple of 448,239 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 448,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,239) x common factors =1 x 1 = 1
LCM(448,239) = ( 448 × 239 ) / 1
LCM(448,239) = 107072 / 1
LCM(448,239) = 107072
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1770/448, 5214/239
1. What is the HCF of 1770,5214?
The HCF of 1770,5214 is 6
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 1770/448, 5214/239?
Answer: GCF of Numerators as per given numbers 1770/448, 5214/239 is
GCF of Numerators i.e. for 1770,5214 is 6
LCM of denominators i.e. for 448,239 is 107072.
Thus, GCF of Fractions is 6/107072.Finally, GCF of Fractions for 1770/448, 5214/239 is 6/107072.