GCF of 6/67, 39/71, 37/561, 518/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/67, 39/71, 37/561, 518/403 i.e 1/1075476831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/67, 39/71, 37/561, 518/403.
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 6/67,39/71,37/561,518/403?
Given fractions are 6/67,39/71,37/561,518/403
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 6/67,39/71,37/561,518/403, numerators are 6,39,37,518
Denominators are 67,71,561,403
The GCF of 6,39,37,518 is 1 .
LCM of 67,71,561,403 is 1075476831.
The greatest common factor of 6/67,39/71,37/561,518/403 = [GCF of 6,39,37,518]/[LCM of 67,71,561,403]= 1/1075476831
Therefore, the GCF of 6/67,39/71,37/561,518/403 is 1/1075476831.
To find the highest common factor of 6,39,37,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 39 are 1, 3, 13, 39
The factors of 37 are 1, 37
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 6,39,37,518 is 1.
Lets's calculate GCF of 6,39,37,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6,39,37,518 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 37
:1,37
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 6,39,37,518 . The biggest common factor number is the GCF number.
So the greatest common factor 6,39,37,518 is 1.
Lets's calculate LCM of 67,71,561,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 1075476831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1075476831
Therefore, the GCF of Fractions 6/67,39/71,37/561,518/403 is 1/1075476831
Least Common Multiple of 67,71,561,403 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 67,71,561,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,71,561,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,71,561,403) x common factors =1 x 1 = 1
LCM(67,71,561,403) = ( 67 × 71 × 561 × 403 ) / 1
LCM(67,71,561,403) = 1075476831 / 1
LCM(67,71,561,403) = 1075476831
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/67, 39/71, 37/561, 518/403
1. What is the HCF of 6,39,37,518?
The HCF of 6,39,37,518 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 6/67, 39/71, 37/561, 518/403?
Answer: GCF of Numerators as per given numbers 6/67, 39/71, 37/561, 518/403 is
GCF of Numerators i.e. for 6,39,37,518 is 1
LCM of denominators i.e. for 67,71,561,403 is 1075476831.
Thus, GCF of Fractions is 1/1075476831.Finally, GCF of Fractions for 6/67, 39/71, 37/561, 518/403 is 1/1075476831.