GCF of 8828/868, 7348/4650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8828/868, 7348/4650 i.e 4/65100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8828/868, 7348/4650.
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 8828/868,7348/4650?
Given fractions are 8828/868,7348/4650
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 8828/868,7348/4650, numerators are 8828,7348
Denominators are 868,4650
The GCF of 8828,7348 is 4 .
LCM of 868,4650 is 65100.
The greatest common factor of 8828/868,7348/4650 = [GCF of 8828,7348]/[LCM of 868,4650]= 4/65100
Therefore, the GCF of 8828/868,7348/4650 is 4/65100.
To find the highest common factor of 8828,7348, we have to find the factors of both numbers and list the highest common factor.
The factors of 8828 are 1, 2, 4, 2207, 4414, 8828
The factors of 7348 are 1, 2, 4, 11, 22, 44, 167, 334, 668, 1837, 3674, 7348
The HCF of 8828,7348 is 4.
Lets's calculate GCF of 8828,7348
| 2 | 8828, 7348 |
| 2 | 4414, 3674 |
| 2207, 1837 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8828,7348 By Matching Biggest Common Factor Method
Now, list down the factors of 8828
:1,2,4,2207,4414,8828
Now, list down the factors of 7348
:1,2,4,11,22,44,167,334,668,1837,3674,7348
Greatest Common Factor
We found the factors 8828,7348 . The biggest common factor number is the GCF number.
So the greatest common factor 8828,7348 is 4.
Lets's calculate LCM of 868,4650
| 2 | 868, 4650 |
| 31 | 434, 2325 |
| 14, 75 |
∴ So the LCM of the given numbers is 2 x 31 x 14 x 75 = 65100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/65100
Therefore, the GCF of Fractions 8828/868,7348/4650 is 4/65100
Least Common Multiple of 868,4650 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 868,4650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,4650) = 62
common factors(in case of two or more numbers have common factors) = 1
GCF(868,4650) x common factors =62 x 1 = 62
LCM(868,4650) = ( 868 × 4650 ) / 62
LCM(868,4650) = 4036200 / 62
LCM(868,4650) = 65100
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FAQs on GCF of Fractions of 8828/868, 7348/4650
1. What is the HCF of 8828,7348?
The HCF of 8828,7348 is 4
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 8828/868, 7348/4650?
Answer: GCF of Numerators as per given numbers 8828/868, 7348/4650 is
GCF of Numerators i.e. for 8828,7348 is 4
LCM of denominators i.e. for 868,4650 is 65100.
Thus, GCF of Fractions is 4/65100.Finally, GCF of Fractions for 8828/868, 7348/4650 is 4/65100.