GCF of 7739/788, 3780/9263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7739/788, 3780/9263 i.e 1/7299244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7739/788, 3780/9263.
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 7739/788,3780/9263?
Given fractions are 7739/788,3780/9263
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 7739/788,3780/9263, numerators are 7739,3780
Denominators are 788,9263
The GCF of 7739,3780 is 1 .
LCM of 788,9263 is 7299244.
The greatest common factor of 7739/788,3780/9263 = [GCF of 7739,3780]/[LCM of 788,9263]= 1/7299244
Therefore, the GCF of 7739/788,3780/9263 is 1/7299244.
To find the highest common factor of 7739,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 7739 are 1, 71, 109, 7739
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 7739,3780 is 1.
Lets's calculate GCF of 7739,3780
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7739,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 7739
:1,71,109,7739
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 7739,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 7739,3780 is 1.
Lets's calculate LCM of 788,9263
Given numbers has no common factors except 1. So, there LCM is their product i.e 7299244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7299244
Therefore, the GCF of Fractions 7739/788,3780/9263 is 1/7299244
Least Common Multiple of 788,9263 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 788,9263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,9263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,9263) x common factors =1 x 1 = 1
LCM(788,9263) = ( 788 × 9263 ) / 1
LCM(788,9263) = 7299244 / 1
LCM(788,9263) = 7299244
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FAQs on GCF of Fractions of 7739/788, 3780/9263
1. What is the HCF of 7739,3780?
The HCF of 7739,3780 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 7739/788, 3780/9263?
Answer: GCF of Numerators as per given numbers 7739/788, 3780/9263 is
GCF of Numerators i.e. for 7739,3780 is 1
LCM of denominators i.e. for 788,9263 is 7299244.
Thus, GCF of Fractions is 1/7299244.Finally, GCF of Fractions for 7739/788, 3780/9263 is 1/7299244.