GCF of 1265/624, 3748/5506
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1265/624, 3748/5506 i.e 1/1717872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1265/624, 3748/5506.
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 1265/624,3748/5506?
Given fractions are 1265/624,3748/5506
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 1265/624,3748/5506, numerators are 1265,3748
Denominators are 624,5506
The GCF of 1265,3748 is 1 .
LCM of 624,5506 is 1717872.
The greatest common factor of 1265/624,3748/5506 = [GCF of 1265,3748]/[LCM of 624,5506]= 1/1717872
Therefore, the GCF of 1265/624,3748/5506 is 1/1717872.
To find the highest common factor of 1265,3748, we have to find the factors of both numbers and list the highest common factor.
The factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265
The factors of 3748 are 1, 2, 4, 937, 1874, 3748
The HCF of 1265,3748 is 1.
Lets's calculate GCF of 1265,3748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1265,3748 By Matching Biggest Common Factor Method
Now, list down the factors of 1265
:1,5,11,23,55,115,253,1265
Now, list down the factors of 3748
:1,2,4,937,1874,3748
Greatest Common Factor
We found the factors 1265,3748 . The biggest common factor number is the GCF number.
So the greatest common factor 1265,3748 is 1.
Lets's calculate LCM of 624,5506
| 2 | 624, 5506 |
| 312, 2753 |
∴ So the LCM of the given numbers is 2 x 312 x 2753 = 1717872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1717872
Therefore, the GCF of Fractions 1265/624,3748/5506 is 1/1717872
Least Common Multiple of 624,5506 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 624,5506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,5506) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,5506) x common factors =2 x 1 = 2
LCM(624,5506) = ( 624 × 5506 ) / 2
LCM(624,5506) = 3435744 / 2
LCM(624,5506) = 1717872
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FAQs on GCF of Fractions of 1265/624, 3748/5506
1. What is the HCF of 1265,3748?
The HCF of 1265,3748 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 1265/624, 3748/5506?
Answer: GCF of Numerators as per given numbers 1265/624, 3748/5506 is
GCF of Numerators i.e. for 1265,3748 is 1
LCM of denominators i.e. for 624,5506 is 1717872.
Thus, GCF of Fractions is 1/1717872.Finally, GCF of Fractions for 1265/624, 3748/5506 is 1/1717872.