GCF of 7/44, 28/25, 95/352, 102/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7/44, 28/25, 95/352, 102/440 i.e 1/8800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/44, 28/25, 95/352, 102/440.
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 7/44,28/25,95/352,102/440?
Given fractions are 7/44,28/25,95/352,102/440
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 7/44,28/25,95/352,102/440, numerators are 7,28,95,102
Denominators are 44,25,352,440
The GCF of 7,28,95,102 is 1 .
LCM of 44,25,352,440 is 8800.
The greatest common factor of 7/44,28/25,95/352,102/440 = [GCF of 7,28,95,102]/[LCM of 44,25,352,440]= 1/8800
Therefore, the GCF of 7/44,28/25,95/352,102/440 is 1/8800.
To find the highest common factor of 7,28,95,102, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 95 are 1, 5, 19, 95
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The HCF of 7,28,95,102 is 1.
Lets's calculate GCF of 7,28,95,102
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7,28,95,102 By Matching Biggest Common Factor Method
Now, list down the factors of 7
:1,7
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 95
:1,5,19,95
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Greatest Common Factor
We found the factors 7,28,95,102 . The biggest common factor number is the GCF number.
So the greatest common factor 7,28,95,102 is 1.
Lets's calculate LCM of 44,25,352,440
| 2 | 44, 25, 352, 440 |
| 2 | 22, 25, 176, 220 |
| 2 | 11, 25, 88, 110 |
| 5 | 11, 25, 44, 55 |
| 11 | 11, 5, 44, 11 |
| 1, 5, 4, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 5 x 4 x 1 = 8800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8800
Therefore, the GCF of Fractions 7/44,28/25,95/352,102/440 is 1/8800
Least Common Multiple of 44,25,352,440 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 44,25,352,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,25,352,440) = 1
common factors(in case of two or more numbers have common factors) = 19360
GCF(44,25,352,440) x common factors =1 x 19360 = 19360
LCM(44,25,352,440) = ( 44 × 25 × 352 × 440 ) / 19360
LCM(44,25,352,440) = 170368000 / 19360
LCM(44,25,352,440) = 8800
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7/44, 28/25, 95/352, 102/440
1. What is the HCF of 7,28,95,102?
The HCF of 7,28,95,102 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 7/44, 28/25, 95/352, 102/440?
Answer: GCF of Numerators as per given numbers 7/44, 28/25, 95/352, 102/440 is
GCF of Numerators i.e. for 7,28,95,102 is 1
LCM of denominators i.e. for 44,25,352,440 is 8800.
Thus, GCF of Fractions is 1/8800.Finally, GCF of Fractions for 7/44, 28/25, 95/352, 102/440 is 1/8800.