GCF of 5237/847, 3407/8993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5237/847, 3407/8993 i.e 1/7617071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5237/847, 3407/8993.
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 5237/847,3407/8993?
Given fractions are 5237/847,3407/8993
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 5237/847,3407/8993, numerators are 5237,3407
Denominators are 847,8993
The GCF of 5237,3407 is 1 .
LCM of 847,8993 is 7617071.
The greatest common factor of 5237/847,3407/8993 = [GCF of 5237,3407]/[LCM of 847,8993]= 1/7617071
Therefore, the GCF of 5237/847,3407/8993 is 1/7617071.
To find the highest common factor of 5237,3407, we have to find the factors of both numbers and list the highest common factor.
The factors of 5237 are 1, 5237
The factors of 3407 are 1, 3407
The HCF of 5237,3407 is 1.
Lets's calculate GCF of 5237,3407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5237,3407 By Matching Biggest Common Factor Method
Now, list down the factors of 5237
:1,5237
Now, list down the factors of 3407
:1,3407
Greatest Common Factor
We found the factors 5237,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 5237,3407 is 1.
Lets's calculate LCM of 847,8993
Given numbers has no common factors except 1. So, there LCM is their product i.e 7617071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7617071
Therefore, the GCF of Fractions 5237/847,3407/8993 is 1/7617071
Least Common Multiple of 847,8993 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 847,8993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,8993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,8993) x common factors =1 x 1 = 1
LCM(847,8993) = ( 847 × 8993 ) / 1
LCM(847,8993) = 7617071 / 1
LCM(847,8993) = 7617071
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FAQs on GCF of Fractions of 5237/847, 3407/8993
1. What is the HCF of 5237,3407?
The HCF of 5237,3407 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 5237/847, 3407/8993?
Answer: GCF of Numerators as per given numbers 5237/847, 3407/8993 is
GCF of Numerators i.e. for 5237,3407 is 1
LCM of denominators i.e. for 847,8993 is 7617071.
Thus, GCF of Fractions is 1/7617071.Finally, GCF of Fractions for 5237/847, 3407/8993 is 1/7617071.