GCF of 95/14, 92/64, 18/56, 21/76
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 95/14, 92/64, 18/56, 21/76 i.e 1/8512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/14, 92/64, 18/56, 21/76.
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 95/14,92/64,18/56,21/76?
Given fractions are 95/14,92/64,18/56,21/76
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 95/14,92/64,18/56,21/76, numerators are 95,92,18,21
Denominators are 14,64,56,76
The GCF of 95,92,18,21 is 1 .
LCM of 14,64,56,76 is 8512.
The greatest common factor of 95/14,92/64,18/56,21/76 = [GCF of 95,92,18,21]/[LCM of 14,64,56,76]= 1/8512
Therefore, the GCF of 95/14,92/64,18/56,21/76 is 1/8512.
To find the highest common factor of 95,92,18,21, we have to find the factors of both numbers and list the highest common factor.
The factors of 95 are 1, 5, 19, 95
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 21 are 1, 3, 7, 21
The HCF of 95,92,18,21 is 1.
Lets's calculate GCF of 95,92,18,21
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 95,92,18,21 By Matching Biggest Common Factor Method
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 21
:1,3,7,21
Greatest Common Factor
We found the factors 95,92,18,21 . The biggest common factor number is the GCF number.
So the greatest common factor 95,92,18,21 is 1.
Lets's calculate LCM of 14,64,56,76
| 2 | 14, 64, 56, 76 |
| 2 | 7, 32, 28, 38 |
| 2 | 7, 16, 14, 19 |
| 7 | 7, 8, 7, 19 |
| 1, 8, 1, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 8 x 1 x 19 = 8512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8512
Therefore, the GCF of Fractions 95/14,92/64,18/56,21/76 is 1/8512
Least Common Multiple of 14,64,56,76 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 14,64,56,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,64,56,76) = 2
common factors(in case of two or more numbers have common factors) = 224
GCF(14,64,56,76) x common factors =2 x 224 = 448
LCM(14,64,56,76) = ( 14 × 64 × 56 × 76 ) / 448
LCM(14,64,56,76) = 3813376 / 448
LCM(14,64,56,76) = 8512
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 95/14, 92/64, 18/56, 21/76
1. What is the HCF of 95,92,18,21?
The HCF of 95,92,18,21 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 95/14, 92/64, 18/56, 21/76?
Answer: GCF of Numerators as per given numbers 95/14, 92/64, 18/56, 21/76 is
GCF of Numerators i.e. for 95,92,18,21 is 1
LCM of denominators i.e. for 14,64,56,76 is 8512.
Thus, GCF of Fractions is 1/8512.Finally, GCF of Fractions for 95/14, 92/64, 18/56, 21/76 is 1/8512.