GCF of 3787/829, 3072/630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3787/829, 3072/630 i.e 1/522270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3787/829, 3072/630.
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 3787/829,3072/630?
Given fractions are 3787/829,3072/630
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 3787/829,3072/630, numerators are 3787,3072
Denominators are 829,630
The GCF of 3787,3072 is 1 .
LCM of 829,630 is 522270.
The greatest common factor of 3787/829,3072/630 = [GCF of 3787,3072]/[LCM of 829,630]= 1/522270
Therefore, the GCF of 3787/829,3072/630 is 1/522270.
To find the highest common factor of 3787,3072, we have to find the factors of both numbers and list the highest common factor.
The factors of 3787 are 1, 7, 541, 3787
The factors of 3072 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072
The HCF of 3787,3072 is 1.
Lets's calculate GCF of 3787,3072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3787,3072 By Matching Biggest Common Factor Method
Now, list down the factors of 3787
:1,7,541,3787
Now, list down the factors of 3072
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,3072
Greatest Common Factor
We found the factors 3787,3072 . The biggest common factor number is the GCF number.
So the greatest common factor 3787,3072 is 1.
Lets's calculate LCM of 829,630
Given numbers has no common factors except 1. So, there LCM is their product i.e 522270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/522270
Therefore, the GCF of Fractions 3787/829,3072/630 is 1/522270
Least Common Multiple of 829,630 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 829,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,630) x common factors =1 x 1 = 1
LCM(829,630) = ( 829 × 630 ) / 1
LCM(829,630) = 522270 / 1
LCM(829,630) = 522270
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FAQs on GCF of Fractions of 3787/829, 3072/630
1. What is the HCF of 3787,3072?
The HCF of 3787,3072 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 3787/829, 3072/630?
Answer: GCF of Numerators as per given numbers 3787/829, 3072/630 is
GCF of Numerators i.e. for 3787,3072 is 1
LCM of denominators i.e. for 829,630 is 522270.
Thus, GCF of Fractions is 1/522270.Finally, GCF of Fractions for 3787/829, 3072/630 is 1/522270.