GCF of 1710/103, 7469/2778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1710/103, 7469/2778 i.e 1/286134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1710/103, 7469/2778.
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 1710/103,7469/2778?
Given fractions are 1710/103,7469/2778
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 1710/103,7469/2778, numerators are 1710,7469
Denominators are 103,2778
The GCF of 1710,7469 is 1 .
LCM of 103,2778 is 286134.
The greatest common factor of 1710/103,7469/2778 = [GCF of 1710,7469]/[LCM of 103,2778]= 1/286134
Therefore, the GCF of 1710/103,7469/2778 is 1/286134.
To find the highest common factor of 1710,7469, we have to find the factors of both numbers and list the highest common factor.
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 factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 1710,7469 is 1.
Lets's calculate GCF of 1710,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1710,7469 By Matching Biggest Common Factor Method
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
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 1710,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 1710,7469 is 1.
Lets's calculate LCM of 103,2778
Given numbers has no common factors except 1. So, there LCM is their product i.e 286134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286134
Therefore, the GCF of Fractions 1710/103,7469/2778 is 1/286134
Least Common Multiple of 103,2778 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 103,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,2778) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,2778) x common factors =1 x 1 = 1
LCM(103,2778) = ( 103 × 2778 ) / 1
LCM(103,2778) = 286134 / 1
LCM(103,2778) = 286134
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FAQs on GCF of Fractions of 1710/103, 7469/2778
1. What is the HCF of 1710,7469?
The HCF of 1710,7469 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 1710/103, 7469/2778?
Answer: GCF of Numerators as per given numbers 1710/103, 7469/2778 is
GCF of Numerators i.e. for 1710,7469 is 1
LCM of denominators i.e. for 103,2778 is 286134.
Thus, GCF of Fractions is 1/286134.Finally, GCF of Fractions for 1710/103, 7469/2778 is 1/286134.