GCF of 5275/972, 1224/140
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5275/972, 1224/140 i.e 1/34020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5275/972, 1224/140.
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 5275/972,1224/140?
Given fractions are 5275/972,1224/140
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 5275/972,1224/140, numerators are 5275,1224
Denominators are 972,140
The GCF of 5275,1224 is 1 .
LCM of 972,140 is 34020.
The greatest common factor of 5275/972,1224/140 = [GCF of 5275,1224]/[LCM of 972,140]= 1/34020
Therefore, the GCF of 5275/972,1224/140 is 1/34020.
To find the highest common factor of 5275,1224, we have to find the factors of both numbers and list the highest common factor.
The factors of 5275 are 1, 5, 25, 211, 1055, 5275
The factors of 1224 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224
The HCF of 5275,1224 is 1.
Lets's calculate GCF of 5275,1224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5275,1224 By Matching Biggest Common Factor Method
Now, list down the factors of 5275
:1,5,25,211,1055,5275
Now, list down the factors of 1224
:1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Greatest Common Factor
We found the factors 5275,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 5275,1224 is 1.
Lets's calculate LCM of 972,140
| 2 | 972, 140 |
| 2 | 486, 70 |
| 243, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 35 = 34020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34020
Therefore, the GCF of Fractions 5275/972,1224/140 is 1/34020
Least Common Multiple of 972,140 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 972,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,140) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,140) x common factors =4 x 1 = 4
LCM(972,140) = ( 972 × 140 ) / 4
LCM(972,140) = 136080 / 4
LCM(972,140) = 34020
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FAQs on GCF of Fractions of 5275/972, 1224/140
1. What is the HCF of 5275,1224?
The HCF of 5275,1224 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 5275/972, 1224/140?
Answer: GCF of Numerators as per given numbers 5275/972, 1224/140 is
GCF of Numerators i.e. for 5275,1224 is 1
LCM of denominators i.e. for 972,140 is 34020.
Thus, GCF of Fractions is 1/34020.Finally, GCF of Fractions for 5275/972, 1224/140 is 1/34020.