GCF of 1906/897, 3432/2207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1906/897, 3432/2207 i.e 2/1979679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1906/897, 3432/2207.
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 1906/897,3432/2207?
Given fractions are 1906/897,3432/2207
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 1906/897,3432/2207, numerators are 1906,3432
Denominators are 897,2207
The GCF of 1906,3432 is 2 .
LCM of 897,2207 is 1979679.
The greatest common factor of 1906/897,3432/2207 = [GCF of 1906,3432]/[LCM of 897,2207]= 2/1979679
Therefore, the GCF of 1906/897,3432/2207 is 2/1979679.
To find the highest common factor of 1906,3432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1906 are 1, 2, 953, 1906
The factors of 3432 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 22, 24, 26, 33, 39, 44, 52, 66, 78, 88, 104, 132, 143, 156, 264, 286, 312, 429, 572, 858, 1144, 1716, 3432
The HCF of 1906,3432 is 2.
Lets's calculate GCF of 1906,3432
| 2 | 1906, 3432 |
| 953, 1716 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1906,3432 By Matching Biggest Common Factor Method
Now, list down the factors of 1906
:1,2,953,1906
Now, list down the factors of 3432
:1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Greatest Common Factor
We found the factors 1906,3432 . The biggest common factor number is the GCF number.
So the greatest common factor 1906,3432 is 2.
Lets's calculate LCM of 897,2207
Given numbers has no common factors except 1. So, there LCM is their product i.e 1979679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1979679
Therefore, the GCF of Fractions 1906/897,3432/2207 is 2/1979679
Least Common Multiple of 897,2207 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 897,2207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,2207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,2207) x common factors =1 x 1 = 1
LCM(897,2207) = ( 897 × 2207 ) / 1
LCM(897,2207) = 1979679 / 1
LCM(897,2207) = 1979679
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FAQs on GCF of Fractions of 1906/897, 3432/2207
1. What is the HCF of 1906,3432?
The HCF of 1906,3432 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 1906/897, 3432/2207?
Answer: GCF of Numerators as per given numbers 1906/897, 3432/2207 is
GCF of Numerators i.e. for 1906,3432 is 2
LCM of denominators i.e. for 897,2207 is 1979679.
Thus, GCF of Fractions is 2/1979679.Finally, GCF of Fractions for 1906/897, 3432/2207 is 2/1979679.