GCF of 8930/878, 8870/9218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8930/878, 8870/9218 i.e 10/4046702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8930/878, 8870/9218.
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 8930/878,8870/9218?
Given fractions are 8930/878,8870/9218
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 8930/878,8870/9218, numerators are 8930,8870
Denominators are 878,9218
The GCF of 8930,8870 is 10 .
LCM of 878,9218 is 4046702.
The greatest common factor of 8930/878,8870/9218 = [GCF of 8930,8870]/[LCM of 878,9218]= 10/4046702
Therefore, the GCF of 8930/878,8870/9218 is 10/4046702.
To find the highest common factor of 8930,8870, we have to find the factors of both numbers and list the highest common factor.
The factors of 8930 are 1, 2, 5, 10, 19, 38, 47, 94, 95, 190, 235, 470, 893, 1786, 4465, 8930
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The HCF of 8930,8870 is 10.
Lets's calculate GCF of 8930,8870
| 2 | 8930, 8870 |
| 5 | 4465, 4435 |
| 893, 887 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8930,8870 By Matching Biggest Common Factor Method
Now, list down the factors of 8930
:1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 8930,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 8930,8870 is 10.
Lets's calculate LCM of 878,9218
| 2 | 878, 9218 |
| 439, 4609 |
∴ So the LCM of the given numbers is 2 x 439 x 4609 = 4046702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4046702
Therefore, the GCF of Fractions 8930/878,8870/9218 is 10/4046702
Least Common Multiple of 878,9218 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 878,9218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,9218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,9218) x common factors =2 x 1 = 2
LCM(878,9218) = ( 878 × 9218 ) / 2
LCM(878,9218) = 8093404 / 2
LCM(878,9218) = 4046702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8930/878, 8870/9218
1. What is the HCF of 8930,8870?
The HCF of 8930,8870 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 8930/878, 8870/9218?
Answer: GCF of Numerators as per given numbers 8930/878, 8870/9218 is
GCF of Numerators i.e. for 8930,8870 is 10
LCM of denominators i.e. for 878,9218 is 4046702.
Thus, GCF of Fractions is 10/4046702.Finally, GCF of Fractions for 8930/878, 8870/9218 is 10/4046702.