GCF of 761/456, 382/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 761/456, 382/269 i.e 1/122664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 761/456, 382/269.
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 761/456,382/269?
Given fractions are 761/456,382/269
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 761/456,382/269, numerators are 761,382
Denominators are 456,269
The GCF of 761,382 is 1 .
LCM of 456,269 is 122664.
The greatest common factor of 761/456,382/269 = [GCF of 761,382]/[LCM of 456,269]= 1/122664
Therefore, the GCF of 761/456,382/269 is 1/122664.
To find the highest common factor of 761,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 761 are 1, 761
The factors of 382 are 1, 2, 191, 382
The HCF of 761,382 is 1.
Lets's calculate GCF of 761,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 761,382 By Matching Biggest Common Factor Method
Now, list down the factors of 761
:1,761
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 761,382 . The biggest common factor number is the GCF number.
So the greatest common factor 761,382 is 1.
Lets's calculate LCM of 456,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 122664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122664
Therefore, the GCF of Fractions 761/456,382/269 is 1/122664
Least Common Multiple of 456,269 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 456,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(456,269) x common factors =1 x 1 = 1
LCM(456,269) = ( 456 × 269 ) / 1
LCM(456,269) = 122664 / 1
LCM(456,269) = 122664
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FAQs on GCF of Fractions of 761/456, 382/269
1. What is the HCF of 761,382?
The HCF of 761,382 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 761/456, 382/269?
Answer: GCF of Numerators as per given numbers 761/456, 382/269 is
GCF of Numerators i.e. for 761,382 is 1
LCM of denominators i.e. for 456,269 is 122664.
Thus, GCF of Fractions is 1/122664.Finally, GCF of Fractions for 761/456, 382/269 is 1/122664.