GCF of 484/196, 222/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 484/196, 222/170 i.e 2/16660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 484/196, 222/170.
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 484/196,222/170?
Given fractions are 484/196,222/170
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 484/196,222/170, numerators are 484,222
Denominators are 196,170
The GCF of 484,222 is 2 .
LCM of 196,170 is 16660.
The greatest common factor of 484/196,222/170 = [GCF of 484,222]/[LCM of 196,170]= 2/16660
Therefore, the GCF of 484/196,222/170 is 2/16660.
To find the highest common factor of 484,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 484,222 is 2.
Lets's calculate GCF of 484,222
| 2 | 484, 222 |
| 242, 111 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 484,222 By Matching Biggest Common Factor Method
Now, list down the factors of 484
:1,2,4,11,22,44,121,242,484
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 484,222 . The biggest common factor number is the GCF number.
So the greatest common factor 484,222 is 2.
Lets's calculate LCM of 196,170
| 2 | 196, 170 |
| 98, 85 |
∴ So the LCM of the given numbers is 2 x 98 x 85 = 16660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16660
Therefore, the GCF of Fractions 484/196,222/170 is 2/16660
Least Common Multiple of 196,170 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 196,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,170) x common factors =2 x 1 = 2
LCM(196,170) = ( 196 × 170 ) / 2
LCM(196,170) = 33320 / 2
LCM(196,170) = 16660
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FAQs on GCF of Fractions of 484/196, 222/170
1. What is the HCF of 484,222?
The HCF of 484,222 is 2
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 484/196, 222/170?
Answer: GCF of Numerators as per given numbers 484/196, 222/170 is
GCF of Numerators i.e. for 484,222 is 2
LCM of denominators i.e. for 196,170 is 16660.
Thus, GCF of Fractions is 2/16660.Finally, GCF of Fractions for 484/196, 222/170 is 2/16660.