GCF of 2453/602, 7504/240
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2453/602, 7504/240 i.e 1/72240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2453/602, 7504/240.
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 2453/602,7504/240?
Given fractions are 2453/602,7504/240
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 2453/602,7504/240, numerators are 2453,7504
Denominators are 602,240
The GCF of 2453,7504 is 1 .
LCM of 602,240 is 72240.
The greatest common factor of 2453/602,7504/240 = [GCF of 2453,7504]/[LCM of 602,240]= 1/72240
Therefore, the GCF of 2453/602,7504/240 is 1/72240.
To find the highest common factor of 2453,7504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2453 are 1, 11, 223, 2453
The factors of 7504 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 67, 112, 134, 268, 469, 536, 938, 1072, 1876, 3752, 7504
The HCF of 2453,7504 is 1.
Lets's calculate GCF of 2453,7504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2453,7504 By Matching Biggest Common Factor Method
Now, list down the factors of 2453
:1,11,223,2453
Now, list down the factors of 7504
:1,2,4,7,8,14,16,28,56,67,112,134,268,469,536,938,1072,1876,3752,7504
Greatest Common Factor
We found the factors 2453,7504 . The biggest common factor number is the GCF number.
So the greatest common factor 2453,7504 is 1.
Lets's calculate LCM of 602,240
| 2 | 602, 240 |
| 301, 120 |
∴ So the LCM of the given numbers is 2 x 301 x 120 = 72240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72240
Therefore, the GCF of Fractions 2453/602,7504/240 is 1/72240
Least Common Multiple of 602,240 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 602,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,240) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(602,240) x common factors =2 x 1 = 2
LCM(602,240) = ( 602 × 240 ) / 2
LCM(602,240) = 144480 / 2
LCM(602,240) = 72240
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FAQs on GCF of Fractions of 2453/602, 7504/240
1. What is the HCF of 2453,7504?
The HCF of 2453,7504 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 2453/602, 7504/240?
Answer: GCF of Numerators as per given numbers 2453/602, 7504/240 is
GCF of Numerators i.e. for 2453,7504 is 1
LCM of denominators i.e. for 602,240 is 72240.
Thus, GCF of Fractions is 1/72240.Finally, GCF of Fractions for 2453/602, 7504/240 is 1/72240.