GCF of 8470/193, 7029/3529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8470/193, 7029/3529 i.e 11/681097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8470/193, 7029/3529.
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 8470/193,7029/3529?
Given fractions are 8470/193,7029/3529
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 8470/193,7029/3529, numerators are 8470,7029
Denominators are 193,3529
The GCF of 8470,7029 is 11 .
LCM of 193,3529 is 681097.
The greatest common factor of 8470/193,7029/3529 = [GCF of 8470,7029]/[LCM of 193,3529]= 11/681097
Therefore, the GCF of 8470/193,7029/3529 is 11/681097.
To find the highest common factor of 8470,7029, we have to find the factors of both numbers and list the highest common factor.
The factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The HCF of 8470,7029 is 11.
Lets's calculate GCF of 8470,7029
| 11 | 8470, 7029 |
| 770, 639 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8470,7029 By Matching Biggest Common Factor Method
Now, list down the factors of 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 8470,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 8470,7029 is 11.
Lets's calculate LCM of 193,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 681097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/681097
Therefore, the GCF of Fractions 8470/193,7029/3529 is 11/681097
Least Common Multiple of 193,3529 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 193,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,3529) x common factors =1 x 1 = 1
LCM(193,3529) = ( 193 × 3529 ) / 1
LCM(193,3529) = 681097 / 1
LCM(193,3529) = 681097
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FAQs on GCF of Fractions of 8470/193, 7029/3529
1. What is the HCF of 8470,7029?
The HCF of 8470,7029 is 11
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 8470/193, 7029/3529?
Answer: GCF of Numerators as per given numbers 8470/193, 7029/3529 is
GCF of Numerators i.e. for 8470,7029 is 11
LCM of denominators i.e. for 193,3529 is 681097.
Thus, GCF of Fractions is 11/681097.Finally, GCF of Fractions for 8470/193, 7029/3529 is 11/681097.