GCF of 1783/210, 7119/7325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1783/210, 7119/7325 i.e 1/307650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1783/210, 7119/7325.
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 1783/210,7119/7325?
Given fractions are 1783/210,7119/7325
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 1783/210,7119/7325, numerators are 1783,7119
Denominators are 210,7325
The GCF of 1783,7119 is 1 .
LCM of 210,7325 is 307650.
The greatest common factor of 1783/210,7119/7325 = [GCF of 1783,7119]/[LCM of 210,7325]= 1/307650
Therefore, the GCF of 1783/210,7119/7325 is 1/307650.
To find the highest common factor of 1783,7119, we have to find the factors of both numbers and list the highest common factor.
The factors of 1783 are 1, 1783
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The HCF of 1783,7119 is 1.
Lets's calculate GCF of 1783,7119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1783,7119 By Matching Biggest Common Factor Method
Now, list down the factors of 1783
:1,1783
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Greatest Common Factor
We found the factors 1783,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 1783,7119 is 1.
Lets's calculate LCM of 210,7325
| 5 | 210, 7325 |
| 42, 1465 |
∴ So the LCM of the given numbers is 5 x 42 x 1465 = 307650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307650
Therefore, the GCF of Fractions 1783/210,7119/7325 is 1/307650
Least Common Multiple of 210,7325 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 210,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,7325) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(210,7325) x common factors =5 x 1 = 5
LCM(210,7325) = ( 210 × 7325 ) / 5
LCM(210,7325) = 1538250 / 5
LCM(210,7325) = 307650
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FAQs on GCF of Fractions of 1783/210, 7119/7325
1. What is the HCF of 1783,7119?
The HCF of 1783,7119 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 1783/210, 7119/7325?
Answer: GCF of Numerators as per given numbers 1783/210, 7119/7325 is
GCF of Numerators i.e. for 1783,7119 is 1
LCM of denominators i.e. for 210,7325 is 307650.
Thus, GCF of Fractions is 1/307650.Finally, GCF of Fractions for 1783/210, 7119/7325 is 1/307650.