GCF of 22/10, 432/37, 206/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 22/10, 432/37, 206/967 i.e 2/357790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 22/10, 432/37, 206/967.
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 22/10,432/37,206/967?
Given fractions are 22/10,432/37,206/967
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 22/10,432/37,206/967, numerators are 22,432,206
Denominators are 10,37,967
The GCF of 22,432,206 is 2 .
LCM of 10,37,967 is 357790.
The greatest common factor of 22/10,432/37,206/967 = [GCF of 22,432,206]/[LCM of 10,37,967]= 2/357790
Therefore, the GCF of 22/10,432/37,206/967 is 2/357790.
To find the highest common factor of 22,432,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 22 are 1, 2, 11, 22
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The factors of 206 are 1, 2, 103, 206
The HCF of 22,432,206 is 2.
Lets's calculate GCF of 22,432,206
| 2 | 22, 432, 206 |
| 11, 216, 103 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 22,432,206 By Matching Biggest Common Factor Method
Now, list down the factors of 22
:1,2,11,22
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 22,432,206 . The biggest common factor number is the GCF number.
So the greatest common factor 22,432,206 is 2.
Lets's calculate LCM of 10,37,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 357790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/357790
Therefore, the GCF of Fractions 22/10,432/37,206/967 is 2/357790
Least Common Multiple of 10,37,967 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 10,37,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,37,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,37,967) x common factors =1 x 1 = 1
LCM(10,37,967) = ( 10 × 37 × 967 ) / 1
LCM(10,37,967) = 357790 / 1
LCM(10,37,967) = 357790
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FAQs on GCF of Fractions of 22/10, 432/37, 206/967
1. What is the HCF of 22,432,206?
The HCF of 22,432,206 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 22/10, 432/37, 206/967?
Answer: GCF of Numerators as per given numbers 22/10, 432/37, 206/967 is
GCF of Numerators i.e. for 22,432,206 is 2
LCM of denominators i.e. for 10,37,967 is 357790.
Thus, GCF of Fractions is 2/357790.Finally, GCF of Fractions for 22/10, 432/37, 206/967 is 2/357790.