GCF of 7754/431, 5203/9338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7754/431, 5203/9338 i.e 1/4024678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7754/431, 5203/9338.
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 7754/431,5203/9338?
Given fractions are 7754/431,5203/9338
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 7754/431,5203/9338, numerators are 7754,5203
Denominators are 431,9338
The GCF of 7754,5203 is 1 .
LCM of 431,9338 is 4024678.
The greatest common factor of 7754/431,5203/9338 = [GCF of 7754,5203]/[LCM of 431,9338]= 1/4024678
Therefore, the GCF of 7754/431,5203/9338 is 1/4024678.
To find the highest common factor of 7754,5203, we have to find the factors of both numbers and list the highest common factor.
The factors of 7754 are 1, 2, 3877, 7754
The factors of 5203 are 1, 11, 43, 121, 473, 5203
The HCF of 7754,5203 is 1.
Lets's calculate GCF of 7754,5203
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7754,5203 By Matching Biggest Common Factor Method
Now, list down the factors of 7754
:1,2,3877,7754
Now, list down the factors of 5203
:1,11,43,121,473,5203
Greatest Common Factor
We found the factors 7754,5203 . The biggest common factor number is the GCF number.
So the greatest common factor 7754,5203 is 1.
Lets's calculate LCM of 431,9338
Given numbers has no common factors except 1. So, there LCM is their product i.e 4024678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4024678
Therefore, the GCF of Fractions 7754/431,5203/9338 is 1/4024678
Least Common Multiple of 431,9338 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 431,9338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,9338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,9338) x common factors =1 x 1 = 1
LCM(431,9338) = ( 431 × 9338 ) / 1
LCM(431,9338) = 4024678 / 1
LCM(431,9338) = 4024678
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FAQs on GCF of Fractions of 7754/431, 5203/9338
1. What is the HCF of 7754,5203?
The HCF of 7754,5203 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 7754/431, 5203/9338?
Answer: GCF of Numerators as per given numbers 7754/431, 5203/9338 is
GCF of Numerators i.e. for 7754,5203 is 1
LCM of denominators i.e. for 431,9338 is 4024678.
Thus, GCF of Fractions is 1/4024678.Finally, GCF of Fractions for 7754/431, 5203/9338 is 1/4024678.