Use our free GCF of Fractions Calculator tool to compute the GCF of 42/66, 752/56, 207/379 i.e 1/700392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/66, 752/56, 207/379.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/66,752/56,207/379
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 42/66,752/56,207/379, numerators are 42,752,207
Denominators are 66,56,379
The GCF of 42,752,207 is 1 .
LCM of 66,56,379 is 700392.
The greatest common factor of 42/66,752/56,207/379 = [GCF of 42,752,207]/[LCM of 66,56,379]= 1/700392
Therefore, the GCF of 42/66,752/56,207/379 is 1/700392.
To find the highest common factor of 42,752,207, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 207 are 1, 3, 9, 23, 69, 207
The HCF of 42,752,207 is 1.
Lets's calculate GCF of 42,752,207
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 207
:1,3,9,23,69,207
Greatest Common Factor
We found the factors 42,752,207 . The biggest common factor number is the GCF number.
So the greatest common factor 42,752,207 is 1.
Lets's calculate LCM of 66,56,379
2 | 66, 56, 379 |
33, 28, 379 |
∴ So the LCM of the given numbers is 2 x 33 x 28 x 379 = 700392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700392
Therefore, the GCF of Fractions 42/66,752/56,207/379 is 1/700392
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 66,56,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,56,379) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(66,56,379) x common factors =1 x 2 = 2
LCM(66,56,379) = ( 66 × 56 × 379 ) / 2
LCM(66,56,379) = 1400784 / 2
LCM(66,56,379) = 700392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 42,752,207?
The HCF of 42,752,207 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 42/66, 752/56, 207/379?
Answer: GCF of Numerators as per given numbers 42/66, 752/56, 207/379 is
GCF of Numerators i.e. for 42,752,207 is 1
LCM of denominators i.e. for 66,56,379 is 700392.
Thus, GCF of Fractions is 1/700392.Finally, GCF of Fractions for 42/66, 752/56, 207/379 is 1/700392.