GCF of 5753/196, 6954/8755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5753/196, 6954/8755 i.e 1/1715980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5753/196, 6954/8755.
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 5753/196,6954/8755?
Given fractions are 5753/196,6954/8755
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 5753/196,6954/8755, numerators are 5753,6954
Denominators are 196,8755
The GCF of 5753,6954 is 1 .
LCM of 196,8755 is 1715980.
The greatest common factor of 5753/196,6954/8755 = [GCF of 5753,6954]/[LCM of 196,8755]= 1/1715980
Therefore, the GCF of 5753/196,6954/8755 is 1/1715980.
To find the highest common factor of 5753,6954, we have to find the factors of both numbers and list the highest common factor.
The factors of 5753 are 1, 11, 523, 5753
The factors of 6954 are 1, 2, 3, 6, 19, 38, 57, 61, 114, 122, 183, 366, 1159, 2318, 3477, 6954
The HCF of 5753,6954 is 1.
Lets's calculate GCF of 5753,6954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5753,6954 By Matching Biggest Common Factor Method
Now, list down the factors of 5753
:1,11,523,5753
Now, list down the factors of 6954
:1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954
Greatest Common Factor
We found the factors 5753,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 5753,6954 is 1.
Lets's calculate LCM of 196,8755
Given numbers has no common factors except 1. So, there LCM is their product i.e 1715980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1715980
Therefore, the GCF of Fractions 5753/196,6954/8755 is 1/1715980
Least Common Multiple of 196,8755 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 196,8755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,8755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,8755) x common factors =1 x 1 = 1
LCM(196,8755) = ( 196 × 8755 ) / 1
LCM(196,8755) = 1715980 / 1
LCM(196,8755) = 1715980
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FAQs on GCF of Fractions of 5753/196, 6954/8755
1. What is the HCF of 5753,6954?
The HCF of 5753,6954 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 5753/196, 6954/8755?
Answer: GCF of Numerators as per given numbers 5753/196, 6954/8755 is
GCF of Numerators i.e. for 5753,6954 is 1
LCM of denominators i.e. for 196,8755 is 1715980.
Thus, GCF of Fractions is 1/1715980.Finally, GCF of Fractions for 5753/196, 6954/8755 is 1/1715980.