GCF of 47/67, 38/21, 630/302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 47/67, 38/21, 630/302 i.e 1/424914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 47/67, 38/21, 630/302.
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 47/67,38/21,630/302?
Given fractions are 47/67,38/21,630/302
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 47/67,38/21,630/302, numerators are 47,38,630
Denominators are 67,21,302
The GCF of 47,38,630 is 1 .
LCM of 67,21,302 is 424914.
The greatest common factor of 47/67,38/21,630/302 = [GCF of 47,38,630]/[LCM of 67,21,302]= 1/424914
Therefore, the GCF of 47/67,38/21,630/302 is 1/424914.
To find the highest common factor of 47,38,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 47 are 1, 47
The factors of 38 are 1, 2, 19, 38
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 47,38,630 is 1.
Lets's calculate GCF of 47,38,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 47,38,630 By Matching Biggest Common Factor Method
Now, list down the factors of 47
:1,47
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 47,38,630 . The biggest common factor number is the GCF number.
So the greatest common factor 47,38,630 is 1.
Lets's calculate LCM of 67,21,302
Given numbers has no common factors except 1. So, there LCM is their product i.e 424914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424914
Therefore, the GCF of Fractions 47/67,38/21,630/302 is 1/424914
Least Common Multiple of 67,21,302 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 67,21,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,21,302) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,21,302) x common factors =1 x 1 = 1
LCM(67,21,302) = ( 67 × 21 × 302 ) / 1
LCM(67,21,302) = 424914 / 1
LCM(67,21,302) = 424914
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FAQs on GCF of Fractions of 47/67, 38/21, 630/302
1. What is the HCF of 47,38,630?
The HCF of 47,38,630 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 47/67, 38/21, 630/302?
Answer: GCF of Numerators as per given numbers 47/67, 38/21, 630/302 is
GCF of Numerators i.e. for 47,38,630 is 1
LCM of denominators i.e. for 67,21,302 is 424914.
Thus, GCF of Fractions is 1/424914.Finally, GCF of Fractions for 47/67, 38/21, 630/302 is 1/424914.