GCF of 1903/967, 6864/3521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1903/967, 6864/3521 i.e 11/3404807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1903/967, 6864/3521.
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 1903/967,6864/3521?
Given fractions are 1903/967,6864/3521
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 1903/967,6864/3521, numerators are 1903,6864
Denominators are 967,3521
The GCF of 1903,6864 is 11 .
LCM of 967,3521 is 3404807.
The greatest common factor of 1903/967,6864/3521 = [GCF of 1903,6864]/[LCM of 967,3521]= 11/3404807
Therefore, the GCF of 1903/967,6864/3521 is 11/3404807.
To find the highest common factor of 1903,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 1903 are 1, 11, 173, 1903
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 1903,6864 is 11.
Lets's calculate GCF of 1903,6864
| 11 | 1903, 6864 |
| 173, 624 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1903,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 1903
:1,11,173,1903
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 1903,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 1903,6864 is 11.
Lets's calculate LCM of 967,3521
Given numbers has no common factors except 1. So, there LCM is their product i.e 3404807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3404807
Therefore, the GCF of Fractions 1903/967,6864/3521 is 11/3404807
Least Common Multiple of 967,3521 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 967,3521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3521) x common factors =1 x 1 = 1
LCM(967,3521) = ( 967 × 3521 ) / 1
LCM(967,3521) = 3404807 / 1
LCM(967,3521) = 3404807
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FAQs on GCF of Fractions of 1903/967, 6864/3521
1. What is the HCF of 1903,6864?
The HCF of 1903,6864 is 11
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 1903/967, 6864/3521?
Answer: GCF of Numerators as per given numbers 1903/967, 6864/3521 is
GCF of Numerators i.e. for 1903,6864 is 11
LCM of denominators i.e. for 967,3521 is 3404807.
Thus, GCF of Fractions is 11/3404807.Finally, GCF of Fractions for 1903/967, 6864/3521 is 11/3404807.