GCF of 3902/905, 1569/6200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3902/905, 1569/6200 i.e 1/1122200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3902/905, 1569/6200.
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 3902/905,1569/6200?
Given fractions are 3902/905,1569/6200
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 3902/905,1569/6200, numerators are 3902,1569
Denominators are 905,6200
The GCF of 3902,1569 is 1 .
LCM of 905,6200 is 1122200.
The greatest common factor of 3902/905,1569/6200 = [GCF of 3902,1569]/[LCM of 905,6200]= 1/1122200
Therefore, the GCF of 3902/905,1569/6200 is 1/1122200.
To find the highest common factor of 3902,1569, we have to find the factors of both numbers and list the highest common factor.
The factors of 3902 are 1, 2, 1951, 3902
The factors of 1569 are 1, 3, 523, 1569
The HCF of 3902,1569 is 1.
Lets's calculate GCF of 3902,1569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3902,1569 By Matching Biggest Common Factor Method
Now, list down the factors of 3902
:1,2,1951,3902
Now, list down the factors of 1569
:1,3,523,1569
Greatest Common Factor
We found the factors 3902,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 3902,1569 is 1.
Lets's calculate LCM of 905,6200
| 5 | 905, 6200 |
| 181, 1240 |
∴ So the LCM of the given numbers is 5 x 181 x 1240 = 1122200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1122200
Therefore, the GCF of Fractions 3902/905,1569/6200 is 1/1122200
Least Common Multiple of 905,6200 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 905,6200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,6200) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,6200) x common factors =5 x 1 = 5
LCM(905,6200) = ( 905 × 6200 ) / 5
LCM(905,6200) = 5611000 / 5
LCM(905,6200) = 1122200
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 3902/905, 1569/6200
1. What is the HCF of 3902,1569?
The HCF of 3902,1569 is 1
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 3902/905, 1569/6200?
Answer: GCF of Numerators as per given numbers 3902/905, 1569/6200 is
GCF of Numerators i.e. for 3902,1569 is 1
LCM of denominators i.e. for 905,6200 is 1122200.
Thus, GCF of Fractions is 1/1122200.Finally, GCF of Fractions for 3902/905, 1569/6200 is 1/1122200.