GCF of 762/25, 381/3709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 762/25, 381/3709 i.e 381/92725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/25, 381/3709.
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 762/25,381/3709?
Given fractions are 762/25,381/3709
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 762/25,381/3709, numerators are 762,381
Denominators are 25,3709
The GCF of 762,381 is 381 .
LCM of 25,3709 is 92725.
The greatest common factor of 762/25,381/3709 = [GCF of 762,381]/[LCM of 25,3709]= 381/92725
Therefore, the GCF of 762/25,381/3709 is 381/92725.
To find the highest common factor of 762,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762
The factors of 381 are 1, 3, 127, 381
The HCF of 762,381 is 381.
Lets's calculate GCF of 762,381
| 3 | 762, 381 |
| 127 | 254, 127 |
| 2, 1 |
∴ So the GCF of the given numbers is 3 x 127 = 381
Greatest Common Factor of 762,381 By Matching Biggest Common Factor Method
Now, list down the factors of 762
:1,2,3,6,127,254,381,762
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 762,381 . The biggest common factor number is the GCF number.
So the greatest common factor 762,381 is 381.
Lets's calculate LCM of 25,3709
Given numbers has no common factors except 1. So, there LCM is their product i.e 92725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 381/92725
Therefore, the GCF of Fractions 762/25,381/3709 is 381/92725
Least Common Multiple of 25,3709 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 25,3709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,3709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,3709) x common factors =1 x 1 = 1
LCM(25,3709) = ( 25 × 3709 ) / 1
LCM(25,3709) = 92725 / 1
LCM(25,3709) = 92725
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FAQs on GCF of Fractions of 762/25, 381/3709
1. What is the HCF of 762,381?
The HCF of 762,381 is 381
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 762/25, 381/3709?
Answer: GCF of Numerators as per given numbers 762/25, 381/3709 is
GCF of Numerators i.e. for 762,381 is 381
LCM of denominators i.e. for 25,3709 is 92725.
Thus, GCF of Fractions is 381/92725.Finally, GCF of Fractions for 762/25, 381/3709 is 381/92725.