GCF of 7/28, 53/72, 50/308, 432/648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7/28, 53/72, 50/308, 432/648 i.e 1/49896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/28, 53/72, 50/308, 432/648.
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 7/28,53/72,50/308,432/648?
Given fractions are 7/28,53/72,50/308,432/648
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 7/28,53/72,50/308,432/648, numerators are 7,53,50,432
Denominators are 28,72,308,648
The GCF of 7,53,50,432 is 1 .
LCM of 28,72,308,648 is 49896.
The greatest common factor of 7/28,53/72,50/308,432/648 = [GCF of 7,53,50,432]/[LCM of 28,72,308,648]= 1/49896
Therefore, the GCF of 7/28,53/72,50/308,432/648 is 1/49896.
To find the highest common factor of 7,53,50,432, 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 53 are 1, 53
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 7,53,50,432 is 1.
Lets's calculate GCF of 7,53,50,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7,53,50,432 By Matching Biggest Common Factor Method
Now, list down the factors of 7
:1,7
Now, list down the factors of 53
:1,53
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 7,53,50,432 . The biggest common factor number is the GCF number.
So the greatest common factor 7,53,50,432 is 1.
Lets's calculate LCM of 28,72,308,648
| 2 | 28, 72, 308, 648 |
| 2 | 14, 36, 154, 324 |
| 2 | 7, 18, 77, 162 |
| 3 | 7, 9, 77, 81 |
| 3 | 7, 3, 77, 27 |
| 7 | 7, 1, 77, 9 |
| 1, 1, 11, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 1 x 11 x 9 = 49896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49896
Therefore, the GCF of Fractions 7/28,53/72,50/308,432/648 is 1/49896
Least Common Multiple of 28,72,308,648 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 28,72,308,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,72,308,648) = 4
common factors(in case of two or more numbers have common factors) = 2016
GCF(28,72,308,648) x common factors =4 x 2016 = 8064
LCM(28,72,308,648) = ( 28 × 72 × 308 × 648 ) / 8064
LCM(28,72,308,648) = 402361344 / 8064
LCM(28,72,308,648) = 49896
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FAQs on GCF of Fractions of 7/28, 53/72, 50/308, 432/648
1. What is the HCF of 7,53,50,432?
The HCF of 7,53,50,432 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 7/28, 53/72, 50/308, 432/648?
Answer: GCF of Numerators as per given numbers 7/28, 53/72, 50/308, 432/648 is
GCF of Numerators i.e. for 7,53,50,432 is 1
LCM of denominators i.e. for 28,72,308,648 is 49896.
Thus, GCF of Fractions is 1/49896.Finally, GCF of Fractions for 7/28, 53/72, 50/308, 432/648 is 1/49896.