GCF of 5357/685, 2262/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5357/685, 2262/114 i.e 1/78090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5357/685, 2262/114.
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 5357/685,2262/114?
Given fractions are 5357/685,2262/114
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 5357/685,2262/114, numerators are 5357,2262
Denominators are 685,114
The GCF of 5357,2262 is 1 .
LCM of 685,114 is 78090.
The greatest common factor of 5357/685,2262/114 = [GCF of 5357,2262]/[LCM of 685,114]= 1/78090
Therefore, the GCF of 5357/685,2262/114 is 1/78090.
To find the highest common factor of 5357,2262, we have to find the factors of both numbers and list the highest common factor.
The factors of 5357 are 1, 11, 487, 5357
The factors of 2262 are 1, 2, 3, 6, 13, 26, 29, 39, 58, 78, 87, 174, 377, 754, 1131, 2262
The HCF of 5357,2262 is 1.
Lets's calculate GCF of 5357,2262
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5357,2262 By Matching Biggest Common Factor Method
Now, list down the factors of 5357
:1,11,487,5357
Now, list down the factors of 2262
:1,2,3,6,13,26,29,39,58,78,87,174,377,754,1131,2262
Greatest Common Factor
We found the factors 5357,2262 . The biggest common factor number is the GCF number.
So the greatest common factor 5357,2262 is 1.
Lets's calculate LCM of 685,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 78090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78090
Therefore, the GCF of Fractions 5357/685,2262/114 is 1/78090
Least Common Multiple of 685,114 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 685,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,114) x common factors =1 x 1 = 1
LCM(685,114) = ( 685 × 114 ) / 1
LCM(685,114) = 78090 / 1
LCM(685,114) = 78090
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FAQs on GCF of Fractions of 5357/685, 2262/114
1. What is the HCF of 5357,2262?
The HCF of 5357,2262 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 5357/685, 2262/114?
Answer: GCF of Numerators as per given numbers 5357/685, 2262/114 is
GCF of Numerators i.e. for 5357,2262 is 1
LCM of denominators i.e. for 685,114 is 78090.
Thus, GCF of Fractions is 1/78090.Finally, GCF of Fractions for 5357/685, 2262/114 is 1/78090.