GCF of 9070/829, 7850/6028
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9070/829, 7850/6028 i.e 10/4997212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9070/829, 7850/6028.
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 9070/829,7850/6028?
Given fractions are 9070/829,7850/6028
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 9070/829,7850/6028, numerators are 9070,7850
Denominators are 829,6028
The GCF of 9070,7850 is 10 .
LCM of 829,6028 is 4997212.
The greatest common factor of 9070/829,7850/6028 = [GCF of 9070,7850]/[LCM of 829,6028]= 10/4997212
Therefore, the GCF of 9070/829,7850/6028 is 10/4997212.
To find the highest common factor of 9070,7850, we have to find the factors of both numbers and list the highest common factor.
The factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070
The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850
The HCF of 9070,7850 is 10.
Lets's calculate GCF of 9070,7850
| 2 | 9070, 7850 |
| 5 | 4535, 3925 |
| 907, 785 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9070,7850 By Matching Biggest Common Factor Method
Now, list down the factors of 9070
:1,2,5,10,907,1814,4535,9070
Now, list down the factors of 7850
:1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 9070,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,7850 is 10.
Lets's calculate LCM of 829,6028
Given numbers has no common factors except 1. So, there LCM is their product i.e 4997212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4997212
Therefore, the GCF of Fractions 9070/829,7850/6028 is 10/4997212
Least Common Multiple of 829,6028 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 829,6028 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,6028) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,6028) x common factors =1 x 1 = 1
LCM(829,6028) = ( 829 × 6028 ) / 1
LCM(829,6028) = 4997212 / 1
LCM(829,6028) = 4997212
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9070/829, 7850/6028
1. What is the HCF of 9070,7850?
The HCF of 9070,7850 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 9070/829, 7850/6028?
Answer: GCF of Numerators as per given numbers 9070/829, 7850/6028 is
GCF of Numerators i.e. for 9070,7850 is 10
LCM of denominators i.e. for 829,6028 is 4997212.
Thus, GCF of Fractions is 10/4997212.Finally, GCF of Fractions for 9070/829, 7850/6028 is 10/4997212.