GCF of 7169/629, 3120/4383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7169/629, 3120/4383 i.e 1/2756907 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7169/629, 3120/4383.
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 7169/629,3120/4383?
Given fractions are 7169/629,3120/4383
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 7169/629,3120/4383, numerators are 7169,3120
Denominators are 629,4383
The GCF of 7169,3120 is 1 .
LCM of 629,4383 is 2756907.
The greatest common factor of 7169/629,3120/4383 = [GCF of 7169,3120]/[LCM of 629,4383]= 1/2756907
Therefore, the GCF of 7169/629,3120/4383 is 1/2756907.
To find the highest common factor of 7169,3120, we have to find the factors of both numbers and list the highest common factor.
The factors of 7169 are 1, 67, 107, 7169
The factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120
The HCF of 7169,3120 is 1.
Lets's calculate GCF of 7169,3120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7169,3120 By Matching Biggest Common Factor Method
Now, list down the factors of 7169
:1,67,107,7169
Now, list down the factors of 3120
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120
Greatest Common Factor
We found the factors 7169,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 7169,3120 is 1.
Lets's calculate LCM of 629,4383
Given numbers has no common factors except 1. So, there LCM is their product i.e 2756907
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2756907
Therefore, the GCF of Fractions 7169/629,3120/4383 is 1/2756907
Least Common Multiple of 629,4383 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 629,4383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,4383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,4383) x common factors =1 x 1 = 1
LCM(629,4383) = ( 629 × 4383 ) / 1
LCM(629,4383) = 2756907 / 1
LCM(629,4383) = 2756907
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FAQs on GCF of Fractions of 7169/629, 3120/4383
1. What is the HCF of 7169,3120?
The HCF of 7169,3120 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 7169/629, 3120/4383?
Answer: GCF of Numerators as per given numbers 7169/629, 3120/4383 is
GCF of Numerators i.e. for 7169,3120 is 1
LCM of denominators i.e. for 629,4383 is 2756907.
Thus, GCF of Fractions is 1/2756907.Finally, GCF of Fractions for 7169/629, 3120/4383 is 1/2756907.