GCF of 6350/176, 5308/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6350/176, 5308/240 i.e 2/2640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6350/176, 5308/240.
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 6350/176,5308/240?
Given fractions are 6350/176,5308/240
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 6350/176,5308/240, numerators are 6350,5308
Denominators are 176,240
The GCF of 6350,5308 is 2 .
LCM of 176,240 is 2640.
The greatest common factor of 6350/176,5308/240 = [GCF of 6350,5308]/[LCM of 176,240]= 2/2640
Therefore, the GCF of 6350/176,5308/240 is 2/2640.
To find the highest common factor of 6350,5308, we have to find the factors of both numbers and list the highest common factor.
The factors of 6350 are 1, 2, 5, 10, 25, 50, 127, 254, 635, 1270, 3175, 6350
The factors of 5308 are 1, 2, 4, 1327, 2654, 5308
The HCF of 6350,5308 is 2.
Lets's calculate GCF of 6350,5308
| 2 | 6350, 5308 |
| 3175, 2654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6350,5308 By Matching Biggest Common Factor Method
Now, list down the factors of 6350
:1,2,5,10,25,50,127,254,635,1270,3175,6350
Now, list down the factors of 5308
:1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 6350,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 6350,5308 is 2.
Lets's calculate LCM of 176,240
| 2 | 176, 240 |
| 2 | 88, 120 |
| 2 | 44, 60 |
| 2 | 22, 30 |
| 11, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 15 = 2640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2640
Therefore, the GCF of Fractions 6350/176,5308/240 is 2/2640
Least Common Multiple of 176,240 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 176,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,240) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(176,240) x common factors =16 x 1 = 16
LCM(176,240) = ( 176 × 240 ) / 16
LCM(176,240) = 42240 / 16
LCM(176,240) = 2640
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FAQs on GCF of Fractions of 6350/176, 5308/240
1. What is the HCF of 6350,5308?
The HCF of 6350,5308 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 6350/176, 5308/240?
Answer: GCF of Numerators as per given numbers 6350/176, 5308/240 is
GCF of Numerators i.e. for 6350,5308 is 2
LCM of denominators i.e. for 176,240 is 2640.
Thus, GCF of Fractions is 2/2640.Finally, GCF of Fractions for 6350/176, 5308/240 is 2/2640.