GCF of 9757/151, 7768/2545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9757/151, 7768/2545 i.e 1/384295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9757/151, 7768/2545.
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 9757/151,7768/2545?
Given fractions are 9757/151,7768/2545
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 9757/151,7768/2545, numerators are 9757,7768
Denominators are 151,2545
The GCF of 9757,7768 is 1 .
LCM of 151,2545 is 384295.
The greatest common factor of 9757/151,7768/2545 = [GCF of 9757,7768]/[LCM of 151,2545]= 1/384295
Therefore, the GCF of 9757/151,7768/2545 is 1/384295.
To find the highest common factor of 9757,7768, we have to find the factors of both numbers and list the highest common factor.
The factors of 9757 are 1, 11, 887, 9757
The factors of 7768 are 1, 2, 4, 8, 971, 1942, 3884, 7768
The HCF of 9757,7768 is 1.
Lets's calculate GCF of 9757,7768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9757,7768 By Matching Biggest Common Factor Method
Now, list down the factors of 9757
:1,11,887,9757
Now, list down the factors of 7768
:1,2,4,8,971,1942,3884,7768
Greatest Common Factor
We found the factors 9757,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 9757,7768 is 1.
Lets's calculate LCM of 151,2545
Given numbers has no common factors except 1. So, there LCM is their product i.e 384295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/384295
Therefore, the GCF of Fractions 9757/151,7768/2545 is 1/384295
Least Common Multiple of 151,2545 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 151,2545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,2545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,2545) x common factors =1 x 1 = 1
LCM(151,2545) = ( 151 × 2545 ) / 1
LCM(151,2545) = 384295 / 1
LCM(151,2545) = 384295
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FAQs on GCF of Fractions of 9757/151, 7768/2545
1. What is the HCF of 9757,7768?
The HCF of 9757,7768 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 9757/151, 7768/2545?
Answer: GCF of Numerators as per given numbers 9757/151, 7768/2545 is
GCF of Numerators i.e. for 9757,7768 is 1
LCM of denominators i.e. for 151,2545 is 384295.
Thus, GCF of Fractions is 1/384295.Finally, GCF of Fractions for 9757/151, 7768/2545 is 1/384295.