GCF of 8830/908, 1860/7924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8830/908, 1860/7924 i.e 10/1798748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8830/908, 1860/7924.
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 8830/908,1860/7924?
Given fractions are 8830/908,1860/7924
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 8830/908,1860/7924, numerators are 8830,1860
Denominators are 908,7924
The GCF of 8830,1860 is 10 .
LCM of 908,7924 is 1798748.
The greatest common factor of 8830/908,1860/7924 = [GCF of 8830,1860]/[LCM of 908,7924]= 10/1798748
Therefore, the GCF of 8830/908,1860/7924 is 10/1798748.
To find the highest common factor of 8830,1860, we have to find the factors of both numbers and list the highest common factor.
The factors of 8830 are 1, 2, 5, 10, 883, 1766, 4415, 8830
The factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860
The HCF of 8830,1860 is 10.
Lets's calculate GCF of 8830,1860
| 2 | 8830, 1860 |
| 5 | 4415, 930 |
| 883, 186 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8830,1860 By Matching Biggest Common Factor Method
Now, list down the factors of 8830
:1,2,5,10,883,1766,4415,8830
Now, list down the factors of 1860
:1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860
Greatest Common Factor
We found the factors 8830,1860 . The biggest common factor number is the GCF number.
So the greatest common factor 8830,1860 is 10.
Lets's calculate LCM of 908,7924
| 2 | 908, 7924 |
| 2 | 454, 3962 |
| 227, 1981 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 1981 = 1798748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1798748
Therefore, the GCF of Fractions 8830/908,1860/7924 is 10/1798748
Least Common Multiple of 908,7924 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 908,7924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,7924) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,7924) x common factors =4 x 1 = 4
LCM(908,7924) = ( 908 × 7924 ) / 4
LCM(908,7924) = 7194992 / 4
LCM(908,7924) = 1798748
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FAQs on GCF of Fractions of 8830/908, 1860/7924
1. What is the HCF of 8830,1860?
The HCF of 8830,1860 is 10
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 8830/908, 1860/7924?
Answer: GCF of Numerators as per given numbers 8830/908, 1860/7924 is
GCF of Numerators i.e. for 8830,1860 is 10
LCM of denominators i.e. for 908,7924 is 1798748.
Thus, GCF of Fractions is 10/1798748.Finally, GCF of Fractions for 8830/908, 1860/7924 is 10/1798748.