GCF of 1154/527, 2097/6102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1154/527, 2097/6102 i.e 1/3215754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1154/527, 2097/6102.
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 1154/527,2097/6102?
Given fractions are 1154/527,2097/6102
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 1154/527,2097/6102, numerators are 1154,2097
Denominators are 527,6102
The GCF of 1154,2097 is 1 .
LCM of 527,6102 is 3215754.
The greatest common factor of 1154/527,2097/6102 = [GCF of 1154,2097]/[LCM of 527,6102]= 1/3215754
Therefore, the GCF of 1154/527,2097/6102 is 1/3215754.
To find the highest common factor of 1154,2097, we have to find the factors of both numbers and list the highest common factor.
The factors of 1154 are 1, 2, 577, 1154
The factors of 2097 are 1, 3, 9, 233, 699, 2097
The HCF of 1154,2097 is 1.
Lets's calculate GCF of 1154,2097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1154,2097 By Matching Biggest Common Factor Method
Now, list down the factors of 1154
:1,2,577,1154
Now, list down the factors of 2097
:1,3,9,233,699,2097
Greatest Common Factor
We found the factors 1154,2097 . The biggest common factor number is the GCF number.
So the greatest common factor 1154,2097 is 1.
Lets's calculate LCM of 527,6102
Given numbers has no common factors except 1. So, there LCM is their product i.e 3215754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3215754
Therefore, the GCF of Fractions 1154/527,2097/6102 is 1/3215754
Least Common Multiple of 527,6102 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 527,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,6102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,6102) x common factors =1 x 1 = 1
LCM(527,6102) = ( 527 × 6102 ) / 1
LCM(527,6102) = 3215754 / 1
LCM(527,6102) = 3215754
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FAQs on GCF of Fractions of 1154/527, 2097/6102
1. What is the HCF of 1154,2097?
The HCF of 1154,2097 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 1154/527, 2097/6102?
Answer: GCF of Numerators as per given numbers 1154/527, 2097/6102 is
GCF of Numerators i.e. for 1154,2097 is 1
LCM of denominators i.e. for 527,6102 is 3215754.
Thus, GCF of Fractions is 1/3215754.Finally, GCF of Fractions for 1154/527, 2097/6102 is 1/3215754.