GCF of 5865/969, 4267/7689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/969, 4267/7689 i.e 17/2483547 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/969, 4267/7689.
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 5865/969,4267/7689?
Given fractions are 5865/969,4267/7689
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 5865/969,4267/7689, numerators are 5865,4267
Denominators are 969,7689
The GCF of 5865,4267 is 17 .
LCM of 969,7689 is 2483547.
The greatest common factor of 5865/969,4267/7689 = [GCF of 5865,4267]/[LCM of 969,7689]= 17/2483547
Therefore, the GCF of 5865/969,4267/7689 is 17/2483547.
To find the highest common factor of 5865,4267, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 4267 are 1, 17, 251, 4267
The HCF of 5865,4267 is 17.
Lets's calculate GCF of 5865,4267
| 17 | 5865, 4267 |
| 345, 251 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5865,4267 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 4267
:1,17,251,4267
Greatest Common Factor
We found the factors 5865,4267 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,4267 is 17.
Lets's calculate LCM of 969,7689
| 3 | 969, 7689 |
| 323, 2563 |
∴ So the LCM of the given numbers is 3 x 323 x 2563 = 2483547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2483547
Therefore, the GCF of Fractions 5865/969,4267/7689 is 17/2483547
Least Common Multiple of 969,7689 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 969,7689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,7689) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(969,7689) x common factors =3 x 1 = 3
LCM(969,7689) = ( 969 × 7689 ) / 3
LCM(969,7689) = 7450641 / 3
LCM(969,7689) = 2483547
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FAQs on GCF of Fractions of 5865/969, 4267/7689
1. What is the HCF of 5865,4267?
The HCF of 5865,4267 is 17
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 5865/969, 4267/7689?
Answer: GCF of Numerators as per given numbers 5865/969, 4267/7689 is
GCF of Numerators i.e. for 5865,4267 is 17
LCM of denominators i.e. for 969,7689 is 2483547.
Thus, GCF of Fractions is 17/2483547.Finally, GCF of Fractions for 5865/969, 4267/7689 is 17/2483547.