GCF of 1488/953, 2124/1235
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1488/953, 2124/1235 i.e 12/1176955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1488/953, 2124/1235.
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 1488/953,2124/1235?
Given fractions are 1488/953,2124/1235
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 1488/953,2124/1235, numerators are 1488,2124
Denominators are 953,1235
The GCF of 1488,2124 is 12 .
LCM of 953,1235 is 1176955.
The greatest common factor of 1488/953,2124/1235 = [GCF of 1488,2124]/[LCM of 953,1235]= 12/1176955
Therefore, the GCF of 1488/953,2124/1235 is 12/1176955.
To find the highest common factor of 1488,2124, we have to find the factors of both numbers and list the highest common factor.
The factors of 1488 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488
The factors of 2124 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 59, 118, 177, 236, 354, 531, 708, 1062, 2124
The HCF of 1488,2124 is 12.
Lets's calculate GCF of 1488,2124
| 2 | 1488, 2124 |
| 2 | 744, 1062 |
| 3 | 372, 531 |
| 124, 177 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1488,2124 By Matching Biggest Common Factor Method
Now, list down the factors of 1488
:1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488
Now, list down the factors of 2124
:1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124
Greatest Common Factor
We found the factors 1488,2124 . The biggest common factor number is the GCF number.
So the greatest common factor 1488,2124 is 12.
Lets's calculate LCM of 953,1235
Given numbers has no common factors except 1. So, there LCM is their product i.e 1176955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1176955
Therefore, the GCF of Fractions 1488/953,2124/1235 is 12/1176955
Least Common Multiple of 953,1235 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 953,1235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,1235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,1235) x common factors =1 x 1 = 1
LCM(953,1235) = ( 953 × 1235 ) / 1
LCM(953,1235) = 1176955 / 1
LCM(953,1235) = 1176955
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FAQs on GCF of Fractions of 1488/953, 2124/1235
1. What is the HCF of 1488,2124?
The HCF of 1488,2124 is 12
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 1488/953, 2124/1235?
Answer: GCF of Numerators as per given numbers 1488/953, 2124/1235 is
GCF of Numerators i.e. for 1488,2124 is 12
LCM of denominators i.e. for 953,1235 is 1176955.
Thus, GCF of Fractions is 12/1176955.Finally, GCF of Fractions for 1488/953, 2124/1235 is 12/1176955.