GCF of 3527/800, 6897/565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3527/800, 6897/565 i.e 1/90400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3527/800, 6897/565.
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 3527/800,6897/565?
Given fractions are 3527/800,6897/565
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 3527/800,6897/565, numerators are 3527,6897
Denominators are 800,565
The GCF of 3527,6897 is 1 .
LCM of 800,565 is 90400.
The greatest common factor of 3527/800,6897/565 = [GCF of 3527,6897]/[LCM of 800,565]= 1/90400
Therefore, the GCF of 3527/800,6897/565 is 1/90400.
To find the highest common factor of 3527,6897, we have to find the factors of both numbers and list the highest common factor.
The factors of 3527 are 1, 3527
The factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897
The HCF of 3527,6897 is 1.
Lets's calculate GCF of 3527,6897
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3527,6897 By Matching Biggest Common Factor Method
Now, list down the factors of 3527
:1,3527
Now, list down the factors of 6897
:1,3,11,19,33,57,121,209,363,627,2299,6897
Greatest Common Factor
We found the factors 3527,6897 . The biggest common factor number is the GCF number.
So the greatest common factor 3527,6897 is 1.
Lets's calculate LCM of 800,565
| 5 | 800, 565 |
| 160, 113 |
∴ So the LCM of the given numbers is 5 x 160 x 113 = 90400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90400
Therefore, the GCF of Fractions 3527/800,6897/565 is 1/90400
Least Common Multiple of 800,565 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 800,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,565) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(800,565) x common factors =5 x 1 = 5
LCM(800,565) = ( 800 × 565 ) / 5
LCM(800,565) = 452000 / 5
LCM(800,565) = 90400
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FAQs on GCF of Fractions of 3527/800, 6897/565
1. What is the HCF of 3527,6897?
The HCF of 3527,6897 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 3527/800, 6897/565?
Answer: GCF of Numerators as per given numbers 3527/800, 6897/565 is
GCF of Numerators i.e. for 3527,6897 is 1
LCM of denominators i.e. for 800,565 is 90400.
Thus, GCF of Fractions is 1/90400.Finally, GCF of Fractions for 3527/800, 6897/565 is 1/90400.