GCF of 6256/669, 1710/8538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6256/669, 1710/8538 i.e 2/1903974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6256/669, 1710/8538.
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 6256/669,1710/8538?
Given fractions are 6256/669,1710/8538
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 6256/669,1710/8538, numerators are 6256,1710
Denominators are 669,8538
The GCF of 6256,1710 is 2 .
LCM of 669,8538 is 1903974.
The greatest common factor of 6256/669,1710/8538 = [GCF of 6256,1710]/[LCM of 669,8538]= 2/1903974
Therefore, the GCF of 6256/669,1710/8538 is 2/1903974.
To find the highest common factor of 6256,1710, we have to find the factors of both numbers and list the highest common factor.
The factors of 6256 are 1, 2, 4, 8, 16, 17, 23, 34, 46, 68, 92, 136, 184, 272, 368, 391, 782, 1564, 3128, 6256
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The HCF of 6256,1710 is 2.
Lets's calculate GCF of 6256,1710
| 2 | 6256, 1710 |
| 3128, 855 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6256,1710 By Matching Biggest Common Factor Method
Now, list down the factors of 6256
:1,2,4,8,16,17,23,34,46,68,92,136,184,272,368,391,782,1564,3128,6256
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Greatest Common Factor
We found the factors 6256,1710 . The biggest common factor number is the GCF number.
So the greatest common factor 6256,1710 is 2.
Lets's calculate LCM of 669,8538
| 3 | 669, 8538 |
| 223, 2846 |
∴ So the LCM of the given numbers is 3 x 223 x 2846 = 1903974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1903974
Therefore, the GCF of Fractions 6256/669,1710/8538 is 2/1903974
Least Common Multiple of 669,8538 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 669,8538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,8538) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,8538) x common factors =3 x 1 = 3
LCM(669,8538) = ( 669 × 8538 ) / 3
LCM(669,8538) = 5711922 / 3
LCM(669,8538) = 1903974
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FAQs on GCF of Fractions of 6256/669, 1710/8538
1. What is the HCF of 6256,1710?
The HCF of 6256,1710 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 6256/669, 1710/8538?
Answer: GCF of Numerators as per given numbers 6256/669, 1710/8538 is
GCF of Numerators i.e. for 6256,1710 is 2
LCM of denominators i.e. for 669,8538 is 1903974.
Thus, GCF of Fractions is 2/1903974.Finally, GCF of Fractions for 6256/669, 1710/8538 is 2/1903974.