GCF of 948/697, 1185/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 948/697, 1185/222 i.e 237/154734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 948/697, 1185/222.
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 948/697,1185/222?
Given fractions are 948/697,1185/222
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 948/697,1185/222, numerators are 948,1185
Denominators are 697,222
The GCF of 948,1185 is 237 .
LCM of 697,222 is 154734.
The greatest common factor of 948/697,1185/222 = [GCF of 948,1185]/[LCM of 697,222]= 237/154734
Therefore, the GCF of 948/697,1185/222 is 237/154734.
To find the highest common factor of 948,1185, we have to find the factors of both numbers and list the highest common factor.
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185
The HCF of 948,1185 is 237.
Lets's calculate GCF of 948,1185
| 3 | 948, 1185 |
| 79 | 316, 395 |
| 4, 5 |
∴ So the GCF of the given numbers is 3 x 79 = 237
Greatest Common Factor of 948,1185 By Matching Biggest Common Factor Method
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 1185
:1,3,5,15,79,237,395,1185
Greatest Common Factor
We found the factors 948,1185 . The biggest common factor number is the GCF number.
So the greatest common factor 948,1185 is 237.
Lets's calculate LCM of 697,222
Given numbers has no common factors except 1. So, there LCM is their product i.e 154734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 237/154734
Therefore, the GCF of Fractions 948/697,1185/222 is 237/154734
Least Common Multiple of 697,222 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 697,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,222) x common factors =1 x 1 = 1
LCM(697,222) = ( 697 × 222 ) / 1
LCM(697,222) = 154734 / 1
LCM(697,222) = 154734
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 948/697, 1185/222
1. What is the HCF of 948,1185?
The HCF of 948,1185 is 237
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 948/697, 1185/222?
Answer: GCF of Numerators as per given numbers 948/697, 1185/222 is
GCF of Numerators i.e. for 948,1185 is 237
LCM of denominators i.e. for 697,222 is 154734.
Thus, GCF of Fractions is 237/154734.Finally, GCF of Fractions for 948/697, 1185/222 is 237/154734.