GCF of 3050/695, 3250/673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3050/695, 3250/673 i.e 50/467735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3050/695, 3250/673.
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 3050/695,3250/673?
Given fractions are 3050/695,3250/673
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 3050/695,3250/673, numerators are 3050,3250
Denominators are 695,673
The GCF of 3050,3250 is 50 .
LCM of 695,673 is 467735.
The greatest common factor of 3050/695,3250/673 = [GCF of 3050,3250]/[LCM of 695,673]= 50/467735
Therefore, the GCF of 3050/695,3250/673 is 50/467735.
To find the highest common factor of 3050,3250, we have to find the factors of both numbers and list the highest common factor.
The factors of 3050 are 1, 2, 5, 10, 25, 50, 61, 122, 305, 610, 1525, 3050
The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
The HCF of 3050,3250 is 50.
Lets's calculate GCF of 3050,3250
| 2 | 3050, 3250 |
| 5 | 1525, 1625 |
| 5 | 305, 325 |
| 61, 65 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 3050,3250 By Matching Biggest Common Factor Method
Now, list down the factors of 3050
:1,2,5,10,25,50,61,122,305,610,1525,3050
Now, list down the factors of 3250
:1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Greatest Common Factor
We found the factors 3050,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 3050,3250 is 50.
Lets's calculate LCM of 695,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 467735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/467735
Therefore, the GCF of Fractions 3050/695,3250/673 is 50/467735
Least Common Multiple of 695,673 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 695,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(695,673) x common factors =1 x 1 = 1
LCM(695,673) = ( 695 × 673 ) / 1
LCM(695,673) = 467735 / 1
LCM(695,673) = 467735
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FAQs on GCF of Fractions of 3050/695, 3250/673
1. What is the HCF of 3050,3250?
The HCF of 3050,3250 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 3050/695, 3250/673?
Answer: GCF of Numerators as per given numbers 3050/695, 3250/673 is
GCF of Numerators i.e. for 3050,3250 is 50
LCM of denominators i.e. for 695,673 is 467735.
Thus, GCF of Fractions is 50/467735.Finally, GCF of Fractions for 3050/695, 3250/673 is 50/467735.