GCF of 5444/786, 7119/880
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5444/786, 7119/880 i.e 1/345840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5444/786, 7119/880.
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 5444/786,7119/880?
Given fractions are 5444/786,7119/880
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 5444/786,7119/880, numerators are 5444,7119
Denominators are 786,880
The GCF of 5444,7119 is 1 .
LCM of 786,880 is 345840.
The greatest common factor of 5444/786,7119/880 = [GCF of 5444,7119]/[LCM of 786,880]= 1/345840
Therefore, the GCF of 5444/786,7119/880 is 1/345840.
To find the highest common factor of 5444,7119, we have to find the factors of both numbers and list the highest common factor.
The factors of 5444 are 1, 2, 4, 1361, 2722, 5444
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The HCF of 5444,7119 is 1.
Lets's calculate GCF of 5444,7119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5444,7119 By Matching Biggest Common Factor Method
Now, list down the factors of 5444
:1,2,4,1361,2722,5444
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Greatest Common Factor
We found the factors 5444,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 5444,7119 is 1.
Lets's calculate LCM of 786,880
| 2 | 786, 880 |
| 393, 440 |
∴ So the LCM of the given numbers is 2 x 393 x 440 = 345840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345840
Therefore, the GCF of Fractions 5444/786,7119/880 is 1/345840
Least Common Multiple of 786,880 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 786,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,880) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,880) x common factors =2 x 1 = 2
LCM(786,880) = ( 786 × 880 ) / 2
LCM(786,880) = 691680 / 2
LCM(786,880) = 345840
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FAQs on GCF of Fractions of 5444/786, 7119/880
1. What is the HCF of 5444,7119?
The HCF of 5444,7119 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 5444/786, 7119/880?
Answer: GCF of Numerators as per given numbers 5444/786, 7119/880 is
GCF of Numerators i.e. for 5444,7119 is 1
LCM of denominators i.e. for 786,880 is 345840.
Thus, GCF of Fractions is 1/345840.Finally, GCF of Fractions for 5444/786, 7119/880 is 1/345840.