GCF of 8758/296, 5408/3165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8758/296, 5408/3165 i.e 2/936840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8758/296, 5408/3165.
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 8758/296,5408/3165?
Given fractions are 8758/296,5408/3165
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 8758/296,5408/3165, numerators are 8758,5408
Denominators are 296,3165
The GCF of 8758,5408 is 2 .
LCM of 296,3165 is 936840.
The greatest common factor of 8758/296,5408/3165 = [GCF of 8758,5408]/[LCM of 296,3165]= 2/936840
Therefore, the GCF of 8758/296,5408/3165 is 2/936840.
To find the highest common factor of 8758,5408, we have to find the factors of both numbers and list the highest common factor.
The factors of 8758 are 1, 2, 29, 58, 151, 302, 4379, 8758
The factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
The HCF of 8758,5408 is 2.
Lets's calculate GCF of 8758,5408
| 2 | 8758, 5408 |
| 4379, 2704 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8758,5408 By Matching Biggest Common Factor Method
Now, list down the factors of 8758
:1,2,29,58,151,302,4379,8758
Now, list down the factors of 5408
:1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
Greatest Common Factor
We found the factors 8758,5408 . The biggest common factor number is the GCF number.
So the greatest common factor 8758,5408 is 2.
Lets's calculate LCM of 296,3165
Given numbers has no common factors except 1. So, there LCM is their product i.e 936840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/936840
Therefore, the GCF of Fractions 8758/296,5408/3165 is 2/936840
Least Common Multiple of 296,3165 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 296,3165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,3165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,3165) x common factors =1 x 1 = 1
LCM(296,3165) = ( 296 × 3165 ) / 1
LCM(296,3165) = 936840 / 1
LCM(296,3165) = 936840
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FAQs on GCF of Fractions of 8758/296, 5408/3165
1. What is the HCF of 8758,5408?
The HCF of 8758,5408 is 2
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 8758/296, 5408/3165?
Answer: GCF of Numerators as per given numbers 8758/296, 5408/3165 is
GCF of Numerators i.e. for 8758,5408 is 2
LCM of denominators i.e. for 296,3165 is 936840.
Thus, GCF of Fractions is 2/936840.Finally, GCF of Fractions for 8758/296, 5408/3165 is 2/936840.