GCF of 6850/636, 9100/1584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6850/636, 9100/1584 i.e 50/83952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6850/636, 9100/1584.
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 6850/636,9100/1584?
Given fractions are 6850/636,9100/1584
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 6850/636,9100/1584, numerators are 6850,9100
Denominators are 636,1584
The GCF of 6850,9100 is 50 .
LCM of 636,1584 is 83952.
The greatest common factor of 6850/636,9100/1584 = [GCF of 6850,9100]/[LCM of 636,1584]= 50/83952
Therefore, the GCF of 6850/636,9100/1584 is 50/83952.
To find the highest common factor of 6850,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 6850,9100 is 50.
Lets's calculate GCF of 6850,9100
| 2 | 6850, 9100 |
| 5 | 3425, 4550 |
| 5 | 685, 910 |
| 137, 182 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 6850,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 6850
:1,2,5,10,25,50,137,274,685,1370,3425,6850
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 6850,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 6850,9100 is 50.
Lets's calculate LCM of 636,1584
| 2 | 636, 1584 |
| 2 | 318, 792 |
| 3 | 159, 396 |
| 53, 132 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 53 x 132 = 83952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/83952
Therefore, the GCF of Fractions 6850/636,9100/1584 is 50/83952
Least Common Multiple of 636,1584 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 636,1584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,1584) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(636,1584) x common factors =12 x 1 = 12
LCM(636,1584) = ( 636 × 1584 ) / 12
LCM(636,1584) = 1007424 / 12
LCM(636,1584) = 83952
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FAQs on GCF of Fractions of 6850/636, 9100/1584
1. What is the HCF of 6850,9100?
The HCF of 6850,9100 is 50
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 6850/636, 9100/1584?
Answer: GCF of Numerators as per given numbers 6850/636, 9100/1584 is
GCF of Numerators i.e. for 6850,9100 is 50
LCM of denominators i.e. for 636,1584 is 83952.
Thus, GCF of Fractions is 50/83952.Finally, GCF of Fractions for 6850/636, 9100/1584 is 50/83952.