GCF of 628/224, 454/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/224, 454/560 i.e 2/1120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/224, 454/560.
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 628/224,454/560?
Given fractions are 628/224,454/560
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 628/224,454/560, numerators are 628,454
Denominators are 224,560
The GCF of 628,454 is 2 .
LCM of 224,560 is 1120.
The greatest common factor of 628/224,454/560 = [GCF of 628,454]/[LCM of 224,560]= 2/1120
Therefore, the GCF of 628/224,454/560 is 2/1120.
To find the highest common factor of 628,454, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 454 are 1, 2, 227, 454
The HCF of 628,454 is 2.
Lets's calculate GCF of 628,454
| 2 | 628, 454 |
| 314, 227 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 628,454 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 454
:1,2,227,454
Greatest Common Factor
We found the factors 628,454 . The biggest common factor number is the GCF number.
So the greatest common factor 628,454 is 2.
Lets's calculate LCM of 224,560
| 2 | 224, 560 |
| 2 | 112, 280 |
| 2 | 56, 140 |
| 2 | 28, 70 |
| 7 | 14, 35 |
| 2, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 2 x 5 = 1120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1120
Therefore, the GCF of Fractions 628/224,454/560 is 2/1120
Least Common Multiple of 224,560 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 224,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,560) = 112
common factors(in case of two or more numbers have common factors) = 1
GCF(224,560) x common factors =112 x 1 = 112
LCM(224,560) = ( 224 × 560 ) / 112
LCM(224,560) = 125440 / 112
LCM(224,560) = 1120
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FAQs on GCF of Fractions of 628/224, 454/560
1. What is the HCF of 628,454?
The HCF of 628,454 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 628/224, 454/560?
Answer: GCF of Numerators as per given numbers 628/224, 454/560 is
GCF of Numerators i.e. for 628,454 is 2
LCM of denominators i.e. for 224,560 is 1120.
Thus, GCF of Fractions is 2/1120.Finally, GCF of Fractions for 628/224, 454/560 is 2/1120.