GCF of 3247/210, 8883/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3247/210, 8883/565 i.e 1/23730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3247/210, 8883/565.
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 3247/210,8883/565?
Given fractions are 3247/210,8883/565
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 3247/210,8883/565, numerators are 3247,8883
Denominators are 210,565
The GCF of 3247,8883 is 1 .
LCM of 210,565 is 23730.
The greatest common factor of 3247/210,8883/565 = [GCF of 3247,8883]/[LCM of 210,565]= 1/23730
Therefore, the GCF of 3247/210,8883/565 is 1/23730.
To find the highest common factor of 3247,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 3247 are 1, 17, 191, 3247
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 3247,8883 is 1.
Lets's calculate GCF of 3247,8883
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3247,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 3247
:1,17,191,3247
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 3247,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 3247,8883 is 1.
Lets's calculate LCM of 210,565
| 5 | 210, 565 |
| 42, 113 |
∴ So the LCM of the given numbers is 5 x 42 x 113 = 23730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23730
Therefore, the GCF of Fractions 3247/210,8883/565 is 1/23730
Least Common Multiple of 210,565 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 210,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(210,565) x common factors =5 x 1 = 5
LCM(210,565) = ( 210 × 565 ) / 5
LCM(210,565) = 118650 / 5
LCM(210,565) = 23730
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FAQs on GCF of Fractions of 3247/210, 8883/565
1. What is the HCF of 3247,8883?
The HCF of 3247,8883 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 3247/210, 8883/565?
Answer: GCF of Numerators as per given numbers 3247/210, 8883/565 is
GCF of Numerators i.e. for 3247,8883 is 1
LCM of denominators i.e. for 210,565 is 23730.
Thus, GCF of Fractions is 1/23730.Finally, GCF of Fractions for 3247/210, 8883/565 is 1/23730.