GCF of 5250/496, 2669/170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5250/496, 2669/170 i.e 1/42160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5250/496, 2669/170.
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 5250/496,2669/170?
Given fractions are 5250/496,2669/170
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 5250/496,2669/170, numerators are 5250,2669
Denominators are 496,170
The GCF of 5250,2669 is 1 .
LCM of 496,170 is 42160.
The greatest common factor of 5250/496,2669/170 = [GCF of 5250,2669]/[LCM of 496,170]= 1/42160
Therefore, the GCF of 5250/496,2669/170 is 1/42160.
To find the highest common factor of 5250,2669, we have to find the factors of both numbers and list the highest common factor.
The factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
The factors of 2669 are 1, 17, 157, 2669
The HCF of 5250,2669 is 1.
Lets's calculate GCF of 5250,2669
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5250,2669 By Matching Biggest Common Factor Method
Now, list down the factors of 5250
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Now, list down the factors of 2669
:1,17,157,2669
Greatest Common Factor
We found the factors 5250,2669 . The biggest common factor number is the GCF number.
So the greatest common factor 5250,2669 is 1.
Lets's calculate LCM of 496,170
| 2 | 496, 170 |
| 248, 85 |
∴ So the LCM of the given numbers is 2 x 248 x 85 = 42160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42160
Therefore, the GCF of Fractions 5250/496,2669/170 is 1/42160
Least Common Multiple of 496,170 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 496,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,170) x common factors =2 x 1 = 2
LCM(496,170) = ( 496 × 170 ) / 2
LCM(496,170) = 84320 / 2
LCM(496,170) = 42160
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FAQs on GCF of Fractions of 5250/496, 2669/170
1. What is the HCF of 5250,2669?
The HCF of 5250,2669 is 1
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 5250/496, 2669/170?
Answer: GCF of Numerators as per given numbers 5250/496, 2669/170 is
GCF of Numerators i.e. for 5250,2669 is 1
LCM of denominators i.e. for 496,170 is 42160.
Thus, GCF of Fractions is 1/42160.Finally, GCF of Fractions for 5250/496, 2669/170 is 1/42160.