GCF of 8869/274, 4855/7076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8869/274, 4855/7076 i.e 1/969412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8869/274, 4855/7076.
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 8869/274,4855/7076?
Given fractions are 8869/274,4855/7076
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 8869/274,4855/7076, numerators are 8869,4855
Denominators are 274,7076
The GCF of 8869,4855 is 1 .
LCM of 274,7076 is 969412.
The greatest common factor of 8869/274,4855/7076 = [GCF of 8869,4855]/[LCM of 274,7076]= 1/969412
Therefore, the GCF of 8869/274,4855/7076 is 1/969412.
To find the highest common factor of 8869,4855, we have to find the factors of both numbers and list the highest common factor.
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The factors of 4855 are 1, 5, 971, 4855
The HCF of 8869,4855 is 1.
Lets's calculate GCF of 8869,4855
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8869,4855 By Matching Biggest Common Factor Method
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Now, list down the factors of 4855
:1,5,971,4855
Greatest Common Factor
We found the factors 8869,4855 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,4855 is 1.
Lets's calculate LCM of 274,7076
| 2 | 274, 7076 |
| 137, 3538 |
∴ So the LCM of the given numbers is 2 x 137 x 3538 = 969412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/969412
Therefore, the GCF of Fractions 8869/274,4855/7076 is 1/969412
Least Common Multiple of 274,7076 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 274,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,7076) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(274,7076) x common factors =2 x 1 = 2
LCM(274,7076) = ( 274 × 7076 ) / 2
LCM(274,7076) = 1938824 / 2
LCM(274,7076) = 969412
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FAQs on GCF of Fractions of 8869/274, 4855/7076
1. What is the HCF of 8869,4855?
The HCF of 8869,4855 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 8869/274, 4855/7076?
Answer: GCF of Numerators as per given numbers 8869/274, 4855/7076 is
GCF of Numerators i.e. for 8869,4855 is 1
LCM of denominators i.e. for 274,7076 is 969412.
Thus, GCF of Fractions is 1/969412.Finally, GCF of Fractions for 8869/274, 4855/7076 is 1/969412.