GCF of 448/303, 710/498, 772/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 448/303, 710/498, 772/172 i.e 2/4325628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/303, 710/498, 772/172.
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 448/303,710/498,772/172?
Given fractions are 448/303,710/498,772/172
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 448/303,710/498,772/172, numerators are 448,710,772
Denominators are 303,498,172
The GCF of 448,710,772 is 2 .
LCM of 303,498,172 is 4325628.
The greatest common factor of 448/303,710/498,772/172 = [GCF of 448,710,772]/[LCM of 303,498,172]= 2/4325628
Therefore, the GCF of 448/303,710/498,772/172 is 2/4325628.
To find the highest common factor of 448,710,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 448,710,772 is 2.
Lets's calculate GCF of 448,710,772
| 2 | 448, 710, 772 |
| 224, 355, 386 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 448,710,772 By Matching Biggest Common Factor Method
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 448,710,772 . The biggest common factor number is the GCF number.
So the greatest common factor 448,710,772 is 2.
Lets's calculate LCM of 303,498,172
| 2 | 303, 498, 172 |
| 3 | 303, 249, 86 |
| 101, 83, 86 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 83 x 86 = 4325628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4325628
Therefore, the GCF of Fractions 448/303,710/498,772/172 is 2/4325628
Least Common Multiple of 303,498,172 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 303,498,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,498,172) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(303,498,172) x common factors =1 x 6 = 6
LCM(303,498,172) = ( 303 × 498 × 172 ) / 6
LCM(303,498,172) = 25953768 / 6
LCM(303,498,172) = 4325628
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FAQs on GCF of Fractions of 448/303, 710/498, 772/172
1. What is the HCF of 448,710,772?
The HCF of 448,710,772 is 2
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 448/303, 710/498, 772/172?
Answer: GCF of Numerators as per given numbers 448/303, 710/498, 772/172 is
GCF of Numerators i.e. for 448,710,772 is 2
LCM of denominators i.e. for 303,498,172 is 4325628.
Thus, GCF of Fractions is 2/4325628.Finally, GCF of Fractions for 448/303, 710/498, 772/172 is 2/4325628.