GCF of 2545/624, 1703/7324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2545/624, 1703/7324 i.e 1/1142544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2545/624, 1703/7324.
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 2545/624,1703/7324?
Given fractions are 2545/624,1703/7324
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 2545/624,1703/7324, numerators are 2545,1703
Denominators are 624,7324
The GCF of 2545,1703 is 1 .
LCM of 624,7324 is 1142544.
The greatest common factor of 2545/624,1703/7324 = [GCF of 2545,1703]/[LCM of 624,7324]= 1/1142544
Therefore, the GCF of 2545/624,1703/7324 is 1/1142544.
To find the highest common factor of 2545,1703, we have to find the factors of both numbers and list the highest common factor.
The factors of 2545 are 1, 5, 509, 2545
The factors of 1703 are 1, 13, 131, 1703
The HCF of 2545,1703 is 1.
Lets's calculate GCF of 2545,1703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2545,1703 By Matching Biggest Common Factor Method
Now, list down the factors of 2545
:1,5,509,2545
Now, list down the factors of 1703
:1,13,131,1703
Greatest Common Factor
We found the factors 2545,1703 . The biggest common factor number is the GCF number.
So the greatest common factor 2545,1703 is 1.
Lets's calculate LCM of 624,7324
| 2 | 624, 7324 |
| 2 | 312, 3662 |
| 156, 1831 |
∴ So the LCM of the given numbers is 2 x 2 x 156 x 1831 = 1142544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1142544
Therefore, the GCF of Fractions 2545/624,1703/7324 is 1/1142544
Least Common Multiple of 624,7324 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 624,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,7324) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(624,7324) x common factors =4 x 1 = 4
LCM(624,7324) = ( 624 × 7324 ) / 4
LCM(624,7324) = 4570176 / 4
LCM(624,7324) = 1142544
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FAQs on GCF of Fractions of 2545/624, 1703/7324
1. What is the HCF of 2545,1703?
The HCF of 2545,1703 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 2545/624, 1703/7324?
Answer: GCF of Numerators as per given numbers 2545/624, 1703/7324 is
GCF of Numerators i.e. for 2545,1703 is 1
LCM of denominators i.e. for 624,7324 is 1142544.
Thus, GCF of Fractions is 1/1142544.Finally, GCF of Fractions for 2545/624, 1703/7324 is 1/1142544.