GCF of 1101/140, 3508/6124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1101/140, 3508/6124 i.e 1/214340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1101/140, 3508/6124.
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 1101/140,3508/6124?
Given fractions are 1101/140,3508/6124
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 1101/140,3508/6124, numerators are 1101,3508
Denominators are 140,6124
The GCF of 1101,3508 is 1 .
LCM of 140,6124 is 214340.
The greatest common factor of 1101/140,3508/6124 = [GCF of 1101,3508]/[LCM of 140,6124]= 1/214340
Therefore, the GCF of 1101/140,3508/6124 is 1/214340.
To find the highest common factor of 1101,3508, we have to find the factors of both numbers and list the highest common factor.
The factors of 1101 are 1, 3, 367, 1101
The factors of 3508 are 1, 2, 4, 877, 1754, 3508
The HCF of 1101,3508 is 1.
Lets's calculate GCF of 1101,3508
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1101,3508 By Matching Biggest Common Factor Method
Now, list down the factors of 1101
:1,3,367,1101
Now, list down the factors of 3508
:1,2,4,877,1754,3508
Greatest Common Factor
We found the factors 1101,3508 . The biggest common factor number is the GCF number.
So the greatest common factor 1101,3508 is 1.
Lets's calculate LCM of 140,6124
| 2 | 140, 6124 |
| 2 | 70, 3062 |
| 35, 1531 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 1531 = 214340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/214340
Therefore, the GCF of Fractions 1101/140,3508/6124 is 1/214340
Least Common Multiple of 140,6124 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 140,6124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,6124) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(140,6124) x common factors =4 x 1 = 4
LCM(140,6124) = ( 140 × 6124 ) / 4
LCM(140,6124) = 857360 / 4
LCM(140,6124) = 214340
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FAQs on GCF of Fractions of 1101/140, 3508/6124
1. What is the HCF of 1101,3508?
The HCF of 1101,3508 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 1101/140, 3508/6124?
Answer: GCF of Numerators as per given numbers 1101/140, 3508/6124 is
GCF of Numerators i.e. for 1101,3508 is 1
LCM of denominators i.e. for 140,6124 is 214340.
Thus, GCF of Fractions is 1/214340.Finally, GCF of Fractions for 1101/140, 3508/6124 is 1/214340.