GCF of 7224/953, 3150/900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7224/953, 3150/900 i.e 42/857700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7224/953, 3150/900.
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 7224/953,3150/900?
Given fractions are 7224/953,3150/900
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 7224/953,3150/900, numerators are 7224,3150
Denominators are 953,900
The GCF of 7224,3150 is 42 .
LCM of 953,900 is 857700.
The greatest common factor of 7224/953,3150/900 = [GCF of 7224,3150]/[LCM of 953,900]= 42/857700
Therefore, the GCF of 7224/953,3150/900 is 42/857700.
To find the highest common factor of 7224,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 7224,3150 is 42.
Lets's calculate GCF of 7224,3150
| 2 | 7224, 3150 |
| 3 | 3612, 1575 |
| 7 | 1204, 525 |
| 172, 75 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 7224,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 7224,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,3150 is 42.
Lets's calculate LCM of 953,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 857700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/857700
Therefore, the GCF of Fractions 7224/953,3150/900 is 42/857700
Least Common Multiple of 953,900 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 953,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,900) x common factors =1 x 1 = 1
LCM(953,900) = ( 953 × 900 ) / 1
LCM(953,900) = 857700 / 1
LCM(953,900) = 857700
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FAQs on GCF of Fractions of 7224/953, 3150/900
1. What is the HCF of 7224,3150?
The HCF of 7224,3150 is 42
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 7224/953, 3150/900?
Answer: GCF of Numerators as per given numbers 7224/953, 3150/900 is
GCF of Numerators i.e. for 7224,3150 is 42
LCM of denominators i.e. for 953,900 is 857700.
Thus, GCF of Fractions is 42/857700.Finally, GCF of Fractions for 7224/953, 3150/900 is 42/857700.