GCF of 550/685, 1760/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 550/685, 1760/157 i.e 110/107545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 550/685, 1760/157.
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 550/685,1760/157?
Given fractions are 550/685,1760/157
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 550/685,1760/157, numerators are 550,1760
Denominators are 685,157
The GCF of 550,1760 is 110 .
LCM of 685,157 is 107545.
The greatest common factor of 550/685,1760/157 = [GCF of 550,1760]/[LCM of 685,157]= 110/107545
Therefore, the GCF of 550/685,1760/157 is 110/107545.
To find the highest common factor of 550,1760, we have to find the factors of both numbers and list the highest common factor.
The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
The factors of 1760 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 80, 88, 110, 160, 176, 220, 352, 440, 880, 1760
The HCF of 550,1760 is 110.
Lets's calculate GCF of 550,1760
| 2 | 550, 1760 |
| 5 | 275, 880 |
| 11 | 55, 176 |
| 5, 16 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 550,1760 By Matching Biggest Common Factor Method
Now, list down the factors of 550
:1,2,5,10,11,22,25,50,55,110,275,550
Now, list down the factors of 1760
:1,2,4,5,8,10,11,16,20,22,32,40,44,55,80,88,110,160,176,220,352,440,880,1760
Greatest Common Factor
We found the factors 550,1760 . The biggest common factor number is the GCF number.
So the greatest common factor 550,1760 is 110.
Lets's calculate LCM of 685,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 107545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/107545
Therefore, the GCF of Fractions 550/685,1760/157 is 110/107545
Least Common Multiple of 685,157 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 685,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,157) x common factors =1 x 1 = 1
LCM(685,157) = ( 685 × 157 ) / 1
LCM(685,157) = 107545 / 1
LCM(685,157) = 107545
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FAQs on GCF of Fractions of 550/685, 1760/157
1. What is the HCF of 550,1760?
The HCF of 550,1760 is 110
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 550/685, 1760/157?
Answer: GCF of Numerators as per given numbers 550/685, 1760/157 is
GCF of Numerators i.e. for 550,1760 is 110
LCM of denominators i.e. for 685,157 is 107545.
Thus, GCF of Fractions is 110/107545.Finally, GCF of Fractions for 550/685, 1760/157 is 110/107545.