GCF of 1050/156, 5308/5646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1050/156, 5308/5646 i.e 2/146796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1050/156, 5308/5646.
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 1050/156,5308/5646?
Given fractions are 1050/156,5308/5646
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 1050/156,5308/5646, numerators are 1050,5308
Denominators are 156,5646
The GCF of 1050,5308 is 2 .
LCM of 156,5646 is 146796.
The greatest common factor of 1050/156,5308/5646 = [GCF of 1050,5308]/[LCM of 156,5646]= 2/146796
Therefore, the GCF of 1050/156,5308/5646 is 2/146796.
To find the highest common factor of 1050,5308, we have to find the factors of both numbers and list the highest common factor.
The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The factors of 5308 are 1, 2, 4, 1327, 2654, 5308
The HCF of 1050,5308 is 2.
Lets's calculate GCF of 1050,5308
| 2 | 1050, 5308 |
| 525, 2654 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1050,5308 By Matching Biggest Common Factor Method
Now, list down the factors of 1050
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Now, list down the factors of 5308
:1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 1050,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 1050,5308 is 2.
Lets's calculate LCM of 156,5646
| 2 | 156, 5646 |
| 3 | 78, 2823 |
| 26, 941 |
∴ So the LCM of the given numbers is 2 x 3 x 26 x 941 = 146796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146796
Therefore, the GCF of Fractions 1050/156,5308/5646 is 2/146796
Least Common Multiple of 156,5646 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 156,5646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,5646) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(156,5646) x common factors =6 x 1 = 6
LCM(156,5646) = ( 156 × 5646 ) / 6
LCM(156,5646) = 880776 / 6
LCM(156,5646) = 146796
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FAQs on GCF of Fractions of 1050/156, 5308/5646
1. What is the HCF of 1050,5308?
The HCF of 1050,5308 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 1050/156, 5308/5646?
Answer: GCF of Numerators as per given numbers 1050/156, 5308/5646 is
GCF of Numerators i.e. for 1050,5308 is 2
LCM of denominators i.e. for 156,5646 is 146796.
Thus, GCF of Fractions is 2/146796.Finally, GCF of Fractions for 1050/156, 5308/5646 is 2/146796.