GCF of 1719/376, 7869/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1719/376, 7869/5422 i.e 3/1019336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1719/376, 7869/5422.
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 1719/376,7869/5422?
Given fractions are 1719/376,7869/5422
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 1719/376,7869/5422, numerators are 1719,7869
Denominators are 376,5422
The GCF of 1719,7869 is 3 .
LCM of 376,5422 is 1019336.
The greatest common factor of 1719/376,7869/5422 = [GCF of 1719,7869]/[LCM of 376,5422]= 3/1019336
Therefore, the GCF of 1719/376,7869/5422 is 3/1019336.
To find the highest common factor of 1719,7869, we have to find the factors of both numbers and list the highest common factor.
The factors of 1719 are 1, 3, 9, 191, 573, 1719
The factors of 7869 are 1, 3, 43, 61, 129, 183, 2623, 7869
The HCF of 1719,7869 is 3.
Lets's calculate GCF of 1719,7869
| 3 | 1719, 7869 |
| 573, 2623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1719,7869 By Matching Biggest Common Factor Method
Now, list down the factors of 1719
:1,3,9,191,573,1719
Now, list down the factors of 7869
:1,3,43,61,129,183,2623,7869
Greatest Common Factor
We found the factors 1719,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 1719,7869 is 3.
Lets's calculate LCM of 376,5422
| 2 | 376, 5422 |
| 188, 2711 |
∴ So the LCM of the given numbers is 2 x 188 x 2711 = 1019336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1019336
Therefore, the GCF of Fractions 1719/376,7869/5422 is 3/1019336
Least Common Multiple of 376,5422 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 376,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,5422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(376,5422) x common factors =2 x 1 = 2
LCM(376,5422) = ( 376 × 5422 ) / 2
LCM(376,5422) = 2038672 / 2
LCM(376,5422) = 1019336
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FAQs on GCF of Fractions of 1719/376, 7869/5422
1. What is the HCF of 1719,7869?
The HCF of 1719,7869 is 3
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 1719/376, 7869/5422?
Answer: GCF of Numerators as per given numbers 1719/376, 7869/5422 is
GCF of Numerators i.e. for 1719,7869 is 3
LCM of denominators i.e. for 376,5422 is 1019336.
Thus, GCF of Fractions is 3/1019336.Finally, GCF of Fractions for 1719/376, 7869/5422 is 3/1019336.