GCF of 8807/539, 7955/2884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8807/539, 7955/2884 i.e 1/222068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8807/539, 7955/2884.
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 8807/539,7955/2884?
Given fractions are 8807/539,7955/2884
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 8807/539,7955/2884, numerators are 8807,7955
Denominators are 539,2884
The GCF of 8807,7955 is 1 .
LCM of 539,2884 is 222068.
The greatest common factor of 8807/539,7955/2884 = [GCF of 8807,7955]/[LCM of 539,2884]= 1/222068
Therefore, the GCF of 8807/539,7955/2884 is 1/222068.
To find the highest common factor of 8807,7955, we have to find the factors of both numbers and list the highest common factor.
The factors of 8807 are 1, 8807
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The HCF of 8807,7955 is 1.
Lets's calculate GCF of 8807,7955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8807,7955 By Matching Biggest Common Factor Method
Now, list down the factors of 8807
:1,8807
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Greatest Common Factor
We found the factors 8807,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 8807,7955 is 1.
Lets's calculate LCM of 539,2884
| 7 | 539, 2884 |
| 77, 412 |
∴ So the LCM of the given numbers is 7 x 77 x 412 = 222068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222068
Therefore, the GCF of Fractions 8807/539,7955/2884 is 1/222068
Least Common Multiple of 539,2884 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 539,2884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,2884) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(539,2884) x common factors =7 x 1 = 7
LCM(539,2884) = ( 539 × 2884 ) / 7
LCM(539,2884) = 1554476 / 7
LCM(539,2884) = 222068
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FAQs on GCF of Fractions of 8807/539, 7955/2884
1. What is the HCF of 8807,7955?
The HCF of 8807,7955 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 8807/539, 7955/2884?
Answer: GCF of Numerators as per given numbers 8807/539, 7955/2884 is
GCF of Numerators i.e. for 8807,7955 is 1
LCM of denominators i.e. for 539,2884 is 222068.
Thus, GCF of Fractions is 1/222068.Finally, GCF of Fractions for 8807/539, 7955/2884 is 1/222068.