GCF of 5044/907, 1464/7628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5044/907, 1464/7628 i.e 4/6918596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5044/907, 1464/7628.
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 5044/907,1464/7628?
Given fractions are 5044/907,1464/7628
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 5044/907,1464/7628, numerators are 5044,1464
Denominators are 907,7628
The GCF of 5044,1464 is 4 .
LCM of 907,7628 is 6918596.
The greatest common factor of 5044/907,1464/7628 = [GCF of 5044,1464]/[LCM of 907,7628]= 4/6918596
Therefore, the GCF of 5044/907,1464/7628 is 4/6918596.
To find the highest common factor of 5044,1464, we have to find the factors of both numbers and list the highest common factor.
The factors of 5044 are 1, 2, 4, 13, 26, 52, 97, 194, 388, 1261, 2522, 5044
The factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
The HCF of 5044,1464 is 4.
Lets's calculate GCF of 5044,1464
| 2 | 5044, 1464 |
| 2 | 2522, 732 |
| 1261, 366 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5044,1464 By Matching Biggest Common Factor Method
Now, list down the factors of 5044
:1,2,4,13,26,52,97,194,388,1261,2522,5044
Now, list down the factors of 1464
:1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Greatest Common Factor
We found the factors 5044,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 5044,1464 is 4.
Lets's calculate LCM of 907,7628
Given numbers has no common factors except 1. So, there LCM is their product i.e 6918596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6918596
Therefore, the GCF of Fractions 5044/907,1464/7628 is 4/6918596
Least Common Multiple of 907,7628 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 907,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,7628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,7628) x common factors =1 x 1 = 1
LCM(907,7628) = ( 907 × 7628 ) / 1
LCM(907,7628) = 6918596 / 1
LCM(907,7628) = 6918596
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FAQs on GCF of Fractions of 5044/907, 1464/7628
1. What is the HCF of 5044,1464?
The HCF of 5044,1464 is 4
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 5044/907, 1464/7628?
Answer: GCF of Numerators as per given numbers 5044/907, 1464/7628 is
GCF of Numerators i.e. for 5044,1464 is 4
LCM of denominators i.e. for 907,7628 is 6918596.
Thus, GCF of Fractions is 4/6918596.Finally, GCF of Fractions for 5044/907, 1464/7628 is 4/6918596.