GCF of 6100/136, 6069/7096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6100/136, 6069/7096 i.e 1/120632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6100/136, 6069/7096.
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 6100/136,6069/7096?
Given fractions are 6100/136,6069/7096
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 6100/136,6069/7096, numerators are 6100,6069
Denominators are 136,7096
The GCF of 6100,6069 is 1 .
LCM of 136,7096 is 120632.
The greatest common factor of 6100/136,6069/7096 = [GCF of 6100,6069]/[LCM of 136,7096]= 1/120632
Therefore, the GCF of 6100/136,6069/7096 is 1/120632.
To find the highest common factor of 6100,6069, we have to find the factors of both numbers and list the highest common factor.
The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100
The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
The HCF of 6100,6069 is 1.
Lets's calculate GCF of 6100,6069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6100,6069 By Matching Biggest Common Factor Method
Now, list down the factors of 6100
:1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100
Now, list down the factors of 6069
:1,3,7,17,21,51,119,289,357,867,2023,6069
Greatest Common Factor
We found the factors 6100,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 6100,6069 is 1.
Lets's calculate LCM of 136,7096
| 2 | 136, 7096 |
| 2 | 68, 3548 |
| 2 | 34, 1774 |
| 17, 887 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 887 = 120632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120632
Therefore, the GCF of Fractions 6100/136,6069/7096 is 1/120632
Least Common Multiple of 136,7096 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 136,7096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,7096) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(136,7096) x common factors =8 x 1 = 8
LCM(136,7096) = ( 136 × 7096 ) / 8
LCM(136,7096) = 965056 / 8
LCM(136,7096) = 120632
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FAQs on GCF of Fractions of 6100/136, 6069/7096
1. What is the HCF of 6100,6069?
The HCF of 6100,6069 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 6100/136, 6069/7096?
Answer: GCF of Numerators as per given numbers 6100/136, 6069/7096 is
GCF of Numerators i.e. for 6100,6069 is 1
LCM of denominators i.e. for 136,7096 is 120632.
Thus, GCF of Fractions is 1/120632.Finally, GCF of Fractions for 6100/136, 6069/7096 is 1/120632.