GCF of 1855/890, 1475/624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1855/890, 1475/624 i.e 5/277680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1855/890, 1475/624.
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 1855/890,1475/624?
Given fractions are 1855/890,1475/624
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 1855/890,1475/624, numerators are 1855,1475
Denominators are 890,624
The GCF of 1855,1475 is 5 .
LCM of 890,624 is 277680.
The greatest common factor of 1855/890,1475/624 = [GCF of 1855,1475]/[LCM of 890,624]= 5/277680
Therefore, the GCF of 1855/890,1475/624 is 5/277680.
To find the highest common factor of 1855,1475, we have to find the factors of both numbers and list the highest common factor.
The factors of 1855 are 1, 5, 7, 35, 53, 265, 371, 1855
The factors of 1475 are 1, 5, 25, 59, 295, 1475
The HCF of 1855,1475 is 5.
Lets's calculate GCF of 1855,1475
| 5 | 1855, 1475 |
| 371, 295 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1855,1475 By Matching Biggest Common Factor Method
Now, list down the factors of 1855
:1,5,7,35,53,265,371,1855
Now, list down the factors of 1475
:1,5,25,59,295,1475
Greatest Common Factor
We found the factors 1855,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 1855,1475 is 5.
Lets's calculate LCM of 890,624
| 2 | 890, 624 |
| 445, 312 |
∴ So the LCM of the given numbers is 2 x 445 x 312 = 277680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/277680
Therefore, the GCF of Fractions 1855/890,1475/624 is 5/277680
Least Common Multiple of 890,624 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 890,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,624) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,624) x common factors =2 x 1 = 2
LCM(890,624) = ( 890 × 624 ) / 2
LCM(890,624) = 555360 / 2
LCM(890,624) = 277680
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FAQs on GCF of Fractions of 1855/890, 1475/624
1. What is the HCF of 1855,1475?
The HCF of 1855,1475 is 5
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 1855/890, 1475/624?
Answer: GCF of Numerators as per given numbers 1855/890, 1475/624 is
GCF of Numerators i.e. for 1855,1475 is 5
LCM of denominators i.e. for 890,624 is 277680.
Thus, GCF of Fractions is 5/277680.Finally, GCF of Fractions for 1855/890, 1475/624 is 5/277680.