GCF of 8472/332, 9750/7630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8472/332, 9750/7630 i.e 6/1266580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8472/332, 9750/7630.
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 8472/332,9750/7630?
Given fractions are 8472/332,9750/7630
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 8472/332,9750/7630, numerators are 8472,9750
Denominators are 332,7630
The GCF of 8472,9750 is 6 .
LCM of 332,7630 is 1266580.
The greatest common factor of 8472/332,9750/7630 = [GCF of 8472,9750]/[LCM of 332,7630]= 6/1266580
Therefore, the GCF of 8472/332,9750/7630 is 6/1266580.
To find the highest common factor of 8472,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 8472 are 1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236, 8472
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 8472,9750 is 6.
Lets's calculate GCF of 8472,9750
| 2 | 8472, 9750 |
| 3 | 4236, 4875 |
| 1412, 1625 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8472,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 8472
:1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 8472,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 8472,9750 is 6.
Lets's calculate LCM of 332,7630
| 2 | 332, 7630 |
| 166, 3815 |
∴ So the LCM of the given numbers is 2 x 166 x 3815 = 1266580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1266580
Therefore, the GCF of Fractions 8472/332,9750/7630 is 6/1266580
Least Common Multiple of 332,7630 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 332,7630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,7630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(332,7630) x common factors =2 x 1 = 2
LCM(332,7630) = ( 332 × 7630 ) / 2
LCM(332,7630) = 2533160 / 2
LCM(332,7630) = 1266580
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FAQs on GCF of Fractions of 8472/332, 9750/7630
1. What is the HCF of 8472,9750?
The HCF of 8472,9750 is 6
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 8472/332, 9750/7630?
Answer: GCF of Numerators as per given numbers 8472/332, 9750/7630 is
GCF of Numerators i.e. for 8472,9750 is 6
LCM of denominators i.e. for 332,7630 is 1266580.
Thus, GCF of Fractions is 6/1266580.Finally, GCF of Fractions for 8472/332, 9750/7630 is 6/1266580.