GCF of 2528/354, 3401/360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2528/354, 3401/360 i.e 1/21240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2528/354, 3401/360.
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 2528/354,3401/360?
Given fractions are 2528/354,3401/360
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 2528/354,3401/360, numerators are 2528,3401
Denominators are 354,360
The GCF of 2528,3401 is 1 .
LCM of 354,360 is 21240.
The greatest common factor of 2528/354,3401/360 = [GCF of 2528,3401]/[LCM of 354,360]= 1/21240
Therefore, the GCF of 2528/354,3401/360 is 1/21240.
To find the highest common factor of 2528,3401, we have to find the factors of both numbers and list the highest common factor.
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The factors of 3401 are 1, 19, 179, 3401
The HCF of 2528,3401 is 1.
Lets's calculate GCF of 2528,3401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2528,3401 By Matching Biggest Common Factor Method
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Now, list down the factors of 3401
:1,19,179,3401
Greatest Common Factor
We found the factors 2528,3401 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,3401 is 1.
Lets's calculate LCM of 354,360
| 2 | 354, 360 |
| 3 | 177, 180 |
| 59, 60 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 60 = 21240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21240
Therefore, the GCF of Fractions 2528/354,3401/360 is 1/21240
Least Common Multiple of 354,360 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 354,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,360) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,360) x common factors =6 x 1 = 6
LCM(354,360) = ( 354 × 360 ) / 6
LCM(354,360) = 127440 / 6
LCM(354,360) = 21240
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FAQs on GCF of Fractions of 2528/354, 3401/360
1. What is the HCF of 2528,3401?
The HCF of 2528,3401 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 2528/354, 3401/360?
Answer: GCF of Numerators as per given numbers 2528/354, 3401/360 is
GCF of Numerators i.e. for 2528,3401 is 1
LCM of denominators i.e. for 354,360 is 21240.
Thus, GCF of Fractions is 1/21240.Finally, GCF of Fractions for 2528/354, 3401/360 is 1/21240.