Use our free GCF of Fractions Calculator tool to compute the GCF of 76/387, 720/258, 751/689 i.e 1/533286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/387, 720/258, 751/689.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/387,720/258,751/689
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 76/387,720/258,751/689, numerators are 76,720,751
Denominators are 387,258,689
The GCF of 76,720,751 is 1 .
LCM of 387,258,689 is 533286.
The greatest common factor of 76/387,720/258,751/689 = [GCF of 76,720,751]/[LCM of 387,258,689]= 1/533286
Therefore, the GCF of 76/387,720/258,751/689 is 1/533286.
To find the highest common factor of 76,720,751, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 751 are 1, 751
The HCF of 76,720,751 is 1.
Lets's calculate GCF of 76,720,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 751
:1,751
Greatest Common Factor
We found the factors 76,720,751 . The biggest common factor number is the GCF number.
So the greatest common factor 76,720,751 is 1.
Lets's calculate LCM of 387,258,689
3 | 387, 258, 689 |
43 | 129, 86, 689 |
3, 2, 689 |
∴ So the LCM of the given numbers is 3 x 43 x 3 x 2 x 689 = 533286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533286
Therefore, the GCF of Fractions 76/387,720/258,751/689 is 1/533286
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 387,258,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,258,689) = 1
common factors(in case of two or more numbers have common factors) = 129
GCF(387,258,689) x common factors =1 x 129 = 129
LCM(387,258,689) = ( 387 × 258 × 689 ) / 129
LCM(387,258,689) = 68793894 / 129
LCM(387,258,689) = 533286
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 76,720,751?
The HCF of 76,720,751 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 76/387, 720/258, 751/689?
Answer: GCF of Numerators as per given numbers 76/387, 720/258, 751/689 is
GCF of Numerators i.e. for 76,720,751 is 1
LCM of denominators i.e. for 387,258,689 is 533286.
Thus, GCF of Fractions is 1/533286.Finally, GCF of Fractions for 76/387, 720/258, 751/689 is 1/533286.