GCF of 849/495, 879/248, 286/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 849/495, 879/248, 286/377 i.e 1/46280520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/495, 879/248, 286/377.
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 849/495,879/248,286/377?
Given fractions are 849/495,879/248,286/377
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 849/495,879/248,286/377, numerators are 849,879,286
Denominators are 495,248,377
The GCF of 849,879,286 is 1 .
LCM of 495,248,377 is 46280520.
The greatest common factor of 849/495,879/248,286/377 = [GCF of 849,879,286]/[LCM of 495,248,377]= 1/46280520
Therefore, the GCF of 849/495,879/248,286/377 is 1/46280520.
To find the highest common factor of 849,879,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
The factors of 879 are 1, 3, 293, 879
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 849,879,286 is 1.
Lets's calculate GCF of 849,879,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 849,879,286 By Matching Biggest Common Factor Method
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 849,879,286 . The biggest common factor number is the GCF number.
So the greatest common factor 849,879,286 is 1.
Lets's calculate LCM of 495,248,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 46280520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46280520
Therefore, the GCF of Fractions 849/495,879/248,286/377 is 1/46280520
Least Common Multiple of 495,248,377 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 495,248,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(495,248,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(495,248,377) x common factors =1 x 1 = 1
LCM(495,248,377) = ( 495 × 248 × 377 ) / 1
LCM(495,248,377) = 46280520 / 1
LCM(495,248,377) = 46280520
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FAQs on GCF of Fractions of 849/495, 879/248, 286/377
1. What is the HCF of 849,879,286?
The HCF of 849,879,286 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 849/495, 879/248, 286/377?
Answer: GCF of Numerators as per given numbers 849/495, 879/248, 286/377 is
GCF of Numerators i.e. for 849,879,286 is 1
LCM of denominators i.e. for 495,248,377 is 46280520.
Thus, GCF of Fractions is 1/46280520.Finally, GCF of Fractions for 849/495, 879/248, 286/377 is 1/46280520.