GCF of 5358/140, 9769/1879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5358/140, 9769/1879 i.e 1/263060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5358/140, 9769/1879.
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 5358/140,9769/1879?
Given fractions are 5358/140,9769/1879
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 5358/140,9769/1879, numerators are 5358,9769
Denominators are 140,1879
The GCF of 5358,9769 is 1 .
LCM of 140,1879 is 263060.
The greatest common factor of 5358/140,9769/1879 = [GCF of 5358,9769]/[LCM of 140,1879]= 1/263060
Therefore, the GCF of 5358/140,9769/1879 is 1/263060.
To find the highest common factor of 5358,9769, we have to find the factors of both numbers and list the highest common factor.
The factors of 5358 are 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358
The factors of 9769 are 1, 9769
The HCF of 5358,9769 is 1.
Lets's calculate GCF of 5358,9769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5358,9769 By Matching Biggest Common Factor Method
Now, list down the factors of 5358
:1,2,3,6,19,38,47,57,94,114,141,282,893,1786,2679,5358
Now, list down the factors of 9769
:1,9769
Greatest Common Factor
We found the factors 5358,9769 . The biggest common factor number is the GCF number.
So the greatest common factor 5358,9769 is 1.
Lets's calculate LCM of 140,1879
Given numbers has no common factors except 1. So, there LCM is their product i.e 263060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263060
Therefore, the GCF of Fractions 5358/140,9769/1879 is 1/263060
Least Common Multiple of 140,1879 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 140,1879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,1879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,1879) x common factors =1 x 1 = 1
LCM(140,1879) = ( 140 × 1879 ) / 1
LCM(140,1879) = 263060 / 1
LCM(140,1879) = 263060
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FAQs on GCF of Fractions of 5358/140, 9769/1879
1. What is the HCF of 5358,9769?
The HCF of 5358,9769 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 5358/140, 9769/1879?
Answer: GCF of Numerators as per given numbers 5358/140, 9769/1879 is
GCF of Numerators i.e. for 5358,9769 is 1
LCM of denominators i.e. for 140,1879 is 263060.
Thus, GCF of Fractions is 1/263060.Finally, GCF of Fractions for 5358/140, 9769/1879 is 1/263060.