GCF of 1750/138, 6608/1712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1750/138, 6608/1712 i.e 14/118128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1750/138, 6608/1712.
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 1750/138,6608/1712?
Given fractions are 1750/138,6608/1712
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 1750/138,6608/1712, numerators are 1750,6608
Denominators are 138,1712
The GCF of 1750,6608 is 14 .
LCM of 138,1712 is 118128.
The greatest common factor of 1750/138,6608/1712 = [GCF of 1750,6608]/[LCM of 138,1712]= 14/118128
Therefore, the GCF of 1750/138,6608/1712 is 14/118128.
To find the highest common factor of 1750,6608, we have to find the factors of both numbers and list the highest common factor.
The factors of 1750 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 125, 175, 250, 350, 875, 1750
The factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608
The HCF of 1750,6608 is 14.
Lets's calculate GCF of 1750,6608
| 2 | 1750, 6608 |
| 7 | 875, 3304 |
| 125, 472 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1750,6608 By Matching Biggest Common Factor Method
Now, list down the factors of 1750
:1,2,5,7,10,14,25,35,50,70,125,175,250,350,875,1750
Now, list down the factors of 6608
:1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Greatest Common Factor
We found the factors 1750,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 1750,6608 is 14.
Lets's calculate LCM of 138,1712
| 2 | 138, 1712 |
| 69, 856 |
∴ So the LCM of the given numbers is 2 x 69 x 856 = 118128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/118128
Therefore, the GCF of Fractions 1750/138,6608/1712 is 14/118128
Least Common Multiple of 138,1712 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 138,1712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,1712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,1712) x common factors =2 x 1 = 2
LCM(138,1712) = ( 138 × 1712 ) / 2
LCM(138,1712) = 236256 / 2
LCM(138,1712) = 118128
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FAQs on GCF of Fractions of 1750/138, 6608/1712
1. What is the HCF of 1750,6608?
The HCF of 1750,6608 is 14
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 1750/138, 6608/1712?
Answer: GCF of Numerators as per given numbers 1750/138, 6608/1712 is
GCF of Numerators i.e. for 1750,6608 is 14
LCM of denominators i.e. for 138,1712 is 118128.
Thus, GCF of Fractions is 14/118128.Finally, GCF of Fractions for 1750/138, 6608/1712 is 14/118128.