GCF of 155/74, 688/1924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/74, 688/1924 i.e 1/1924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/74, 688/1924.
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 155/74,688/1924?
Given fractions are 155/74,688/1924
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 155/74,688/1924, numerators are 155,688
Denominators are 74,1924
The GCF of 155,688 is 1 .
LCM of 74,1924 is 1924.
The greatest common factor of 155/74,688/1924 = [GCF of 155,688]/[LCM of 74,1924]= 1/1924
Therefore, the GCF of 155/74,688/1924 is 1/1924.
To find the highest common factor of 155,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 155,688 is 1.
Lets's calculate GCF of 155,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 155,688 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 155,688 . The biggest common factor number is the GCF number.
So the greatest common factor 155,688 is 1.
Lets's calculate LCM of 74,1924
| 2 | 74, 1924 |
| 37 | 37, 962 |
| 1, 26 |
∴ So the LCM of the given numbers is 2 x 37 x 1 x 26 = 1924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1924
Therefore, the GCF of Fractions 155/74,688/1924 is 1/1924
Least Common Multiple of 74,1924 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 74,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,1924) = 74
common factors(in case of two or more numbers have common factors) = 1
GCF(74,1924) x common factors =74 x 1 = 74
LCM(74,1924) = ( 74 × 1924 ) / 74
LCM(74,1924) = 142376 / 74
LCM(74,1924) = 1924
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FAQs on GCF of Fractions of 155/74, 688/1924
1. What is the HCF of 155,688?
The HCF of 155,688 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 155/74, 688/1924?
Answer: GCF of Numerators as per given numbers 155/74, 688/1924 is
GCF of Numerators i.e. for 155,688 is 1
LCM of denominators i.e. for 74,1924 is 1924.
Thus, GCF of Fractions is 1/1924.Finally, GCF of Fractions for 155/74, 688/1924 is 1/1924.