GCF of 224/100, 603/512, 962/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 224/100, 603/512, 962/960 i.e 1/38400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 224/100, 603/512, 962/960.
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 224/100,603/512,962/960?
Given fractions are 224/100,603/512,962/960
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 224/100,603/512,962/960, numerators are 224,603,962
Denominators are 100,512,960
The GCF of 224,603,962 is 1 .
LCM of 100,512,960 is 38400.
The greatest common factor of 224/100,603/512,962/960 = [GCF of 224,603,962]/[LCM of 100,512,960]= 1/38400
Therefore, the GCF of 224/100,603/512,962/960 is 1/38400.
To find the highest common factor of 224,603,962, we have to find the factors of both numbers and list the highest common factor.
The factors of 224 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
The factors of 603 are 1, 3, 9, 67, 201, 603
The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962
The HCF of 224,603,962 is 1.
Lets's calculate GCF of 224,603,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 224,603,962 By Matching Biggest Common Factor Method
Now, list down the factors of 224
:1,2,4,7,8,14,16,28,32,56,112,224
Now, list down the factors of 603
:1,3,9,67,201,603
Now, list down the factors of 962
:1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 224,603,962 . The biggest common factor number is the GCF number.
So the greatest common factor 224,603,962 is 1.
Lets's calculate LCM of 100,512,960
| 2 | 100, 512, 960 |
| 2 | 50, 256, 480 |
| 2 | 25, 128, 240 |
| 2 | 25, 64, 120 |
| 2 | 25, 32, 60 |
| 2 | 25, 16, 30 |
| 5 | 25, 8, 15 |
| 5, 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 8 x 3 = 38400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38400
Therefore, the GCF of Fractions 224/100,603/512,962/960 is 1/38400
Least Common Multiple of 100,512,960 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 100,512,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,512,960) = 4
common factors(in case of two or more numbers have common factors) = 320
GCF(100,512,960) x common factors =4 x 320 = 1280
LCM(100,512,960) = ( 100 × 512 × 960 ) / 1280
LCM(100,512,960) = 49152000 / 1280
LCM(100,512,960) = 38400
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FAQs on GCF of Fractions of 224/100, 603/512, 962/960
1. What is the HCF of 224,603,962?
The HCF of 224,603,962 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 224/100, 603/512, 962/960?
Answer: GCF of Numerators as per given numbers 224/100, 603/512, 962/960 is
GCF of Numerators i.e. for 224,603,962 is 1
LCM of denominators i.e. for 100,512,960 is 38400.
Thus, GCF of Fractions is 1/38400.Finally, GCF of Fractions for 224/100, 603/512, 962/960 is 1/38400.