GCF of 8174/584, 6970/5850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8174/584, 6970/5850 i.e 2/1708200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8174/584, 6970/5850.
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 8174/584,6970/5850?
Given fractions are 8174/584,6970/5850
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 8174/584,6970/5850, numerators are 8174,6970
Denominators are 584,5850
The GCF of 8174,6970 is 2 .
LCM of 584,5850 is 1708200.
The greatest common factor of 8174/584,6970/5850 = [GCF of 8174,6970]/[LCM of 584,5850]= 2/1708200
Therefore, the GCF of 8174/584,6970/5850 is 2/1708200.
To find the highest common factor of 8174,6970, we have to find the factors of both numbers and list the highest common factor.
The factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174
The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970
The HCF of 8174,6970 is 2.
Lets's calculate GCF of 8174,6970
| 2 | 8174, 6970 |
| 4087, 3485 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8174,6970 By Matching Biggest Common Factor Method
Now, list down the factors of 8174
:1,2,61,67,122,134,4087,8174
Now, list down the factors of 6970
:1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Greatest Common Factor
We found the factors 8174,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 8174,6970 is 2.
Lets's calculate LCM of 584,5850
| 2 | 584, 5850 |
| 292, 2925 |
∴ So the LCM of the given numbers is 2 x 292 x 2925 = 1708200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1708200
Therefore, the GCF of Fractions 8174/584,6970/5850 is 2/1708200
Least Common Multiple of 584,5850 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 584,5850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,5850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(584,5850) x common factors =2 x 1 = 2
LCM(584,5850) = ( 584 × 5850 ) / 2
LCM(584,5850) = 3416400 / 2
LCM(584,5850) = 1708200
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FAQs on GCF of Fractions of 8174/584, 6970/5850
1. What is the HCF of 8174,6970?
The HCF of 8174,6970 is 2
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 8174/584, 6970/5850?
Answer: GCF of Numerators as per given numbers 8174/584, 6970/5850 is
GCF of Numerators i.e. for 8174,6970 is 2
LCM of denominators i.e. for 584,5850 is 1708200.
Thus, GCF of Fractions is 2/1708200.Finally, GCF of Fractions for 8174/584, 6970/5850 is 2/1708200.