GCF of 629/427, 7650/1029
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 629/427, 7650/1029 i.e 17/62769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/427, 7650/1029.
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 629/427,7650/1029?
Given fractions are 629/427,7650/1029
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 629/427,7650/1029, numerators are 629,7650
Denominators are 427,1029
The GCF of 629,7650 is 17 .
LCM of 427,1029 is 62769.
The greatest common factor of 629/427,7650/1029 = [GCF of 629,7650]/[LCM of 427,1029]= 17/62769
Therefore, the GCF of 629/427,7650/1029 is 17/62769.
To find the highest common factor of 629,7650, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
The HCF of 629,7650 is 17.
Lets's calculate GCF of 629,7650
| 17 | 629, 7650 |
| 37, 450 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 629,7650 By Matching Biggest Common Factor Method
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 7650
:1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Greatest Common Factor
We found the factors 629,7650 . The biggest common factor number is the GCF number.
So the greatest common factor 629,7650 is 17.
Lets's calculate LCM of 427,1029
| 7 | 427, 1029 |
| 61, 147 |
∴ So the LCM of the given numbers is 7 x 61 x 147 = 62769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/62769
Therefore, the GCF of Fractions 629/427,7650/1029 is 17/62769
Least Common Multiple of 427,1029 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 427,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,1029) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,1029) x common factors =7 x 1 = 7
LCM(427,1029) = ( 427 × 1029 ) / 7
LCM(427,1029) = 439383 / 7
LCM(427,1029) = 62769
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FAQs on GCF of Fractions of 629/427, 7650/1029
1. What is the HCF of 629,7650?
The HCF of 629,7650 is 17
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 629/427, 7650/1029?
Answer: GCF of Numerators as per given numbers 629/427, 7650/1029 is
GCF of Numerators i.e. for 629,7650 is 17
LCM of denominators i.e. for 427,1029 is 62769.
Thus, GCF of Fractions is 17/62769.Finally, GCF of Fractions for 629/427, 7650/1029 is 17/62769.