GCF of 8844/514, 6950/580
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8844/514, 6950/580 i.e 2/149060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8844/514, 6950/580.
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 8844/514,6950/580?
Given fractions are 8844/514,6950/580
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 8844/514,6950/580, numerators are 8844,6950
Denominators are 514,580
The GCF of 8844,6950 is 2 .
LCM of 514,580 is 149060.
The greatest common factor of 8844/514,6950/580 = [GCF of 8844,6950]/[LCM of 514,580]= 2/149060
Therefore, the GCF of 8844/514,6950/580 is 2/149060.
To find the highest common factor of 8844,6950, we have to find the factors of both numbers and list the highest common factor.
The factors of 8844 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 132, 134, 201, 268, 402, 737, 804, 1474, 2211, 2948, 4422, 8844
The factors of 6950 are 1, 2, 5, 10, 25, 50, 139, 278, 695, 1390, 3475, 6950
The HCF of 8844,6950 is 2.
Lets's calculate GCF of 8844,6950
| 2 | 8844, 6950 |
| 4422, 3475 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8844,6950 By Matching Biggest Common Factor Method
Now, list down the factors of 8844
:1,2,3,4,6,11,12,22,33,44,66,67,132,134,201,268,402,737,804,1474,2211,2948,4422,8844
Now, list down the factors of 6950
:1,2,5,10,25,50,139,278,695,1390,3475,6950
Greatest Common Factor
We found the factors 8844,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 8844,6950 is 2.
Lets's calculate LCM of 514,580
| 2 | 514, 580 |
| 257, 290 |
∴ So the LCM of the given numbers is 2 x 257 x 290 = 149060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149060
Therefore, the GCF of Fractions 8844/514,6950/580 is 2/149060
Least Common Multiple of 514,580 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 514,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,580) x common factors =2 x 1 = 2
LCM(514,580) = ( 514 × 580 ) / 2
LCM(514,580) = 298120 / 2
LCM(514,580) = 149060
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FAQs on GCF of Fractions of 8844/514, 6950/580
1. What is the HCF of 8844,6950?
The HCF of 8844,6950 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 8844/514, 6950/580?
Answer: GCF of Numerators as per given numbers 8844/514, 6950/580 is
GCF of Numerators i.e. for 8844,6950 is 2
LCM of denominators i.e. for 514,580 is 149060.
Thus, GCF of Fractions is 2/149060.Finally, GCF of Fractions for 8844/514, 6950/580 is 2/149060.