GCF of 57/14, 936/45, 709/103
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 57/14, 936/45, 709/103 i.e 1/64890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/14, 936/45, 709/103.
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 57/14,936/45,709/103?
Given fractions are 57/14,936/45,709/103
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 57/14,936/45,709/103, numerators are 57,936,709
Denominators are 14,45,103
The GCF of 57,936,709 is 1 .
LCM of 14,45,103 is 64890.
The greatest common factor of 57/14,936/45,709/103 = [GCF of 57,936,709]/[LCM of 14,45,103]= 1/64890
Therefore, the GCF of 57/14,936/45,709/103 is 1/64890.
To find the highest common factor of 57,936,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The factors of 709 are 1, 709
The HCF of 57,936,709 is 1.
Lets's calculate GCF of 57,936,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 57,936,709 By Matching Biggest Common Factor Method
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 57,936,709 . The biggest common factor number is the GCF number.
So the greatest common factor 57,936,709 is 1.
Lets's calculate LCM of 14,45,103
Given numbers has no common factors except 1. So, there LCM is their product i.e 64890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64890
Therefore, the GCF of Fractions 57/14,936/45,709/103 is 1/64890
Least Common Multiple of 14,45,103 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 14,45,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,45,103) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,45,103) x common factors =1 x 1 = 1
LCM(14,45,103) = ( 14 × 45 × 103 ) / 1
LCM(14,45,103) = 64890 / 1
LCM(14,45,103) = 64890
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FAQs on GCF of Fractions of 57/14, 936/45, 709/103
1. What is the HCF of 57,936,709?
The HCF of 57,936,709 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 57/14, 936/45, 709/103?
Answer: GCF of Numerators as per given numbers 57/14, 936/45, 709/103 is
GCF of Numerators i.e. for 57,936,709 is 1
LCM of denominators i.e. for 14,45,103 is 64890.
Thus, GCF of Fractions is 1/64890.Finally, GCF of Fractions for 57/14, 936/45, 709/103 is 1/64890.