GCF of 356/48, 355/76, 688/67
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 356/48, 355/76, 688/67 i.e 1/61104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 356/48, 355/76, 688/67.
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 356/48,355/76,688/67?
Given fractions are 356/48,355/76,688/67
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 356/48,355/76,688/67, numerators are 356,355,688
Denominators are 48,76,67
The GCF of 356,355,688 is 1 .
LCM of 48,76,67 is 61104.
The greatest common factor of 356/48,355/76,688/67 = [GCF of 356,355,688]/[LCM of 48,76,67]= 1/61104
Therefore, the GCF of 356/48,355/76,688/67 is 1/61104.
To find the highest common factor of 356,355,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 356 are 1, 2, 4, 89, 178, 356
The factors of 355 are 1, 5, 71, 355
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 356,355,688 is 1.
Lets's calculate GCF of 356,355,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 356,355,688 By Matching Biggest Common Factor Method
Now, list down the factors of 356
:1,2,4,89,178,356
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 356,355,688 . The biggest common factor number is the GCF number.
So the greatest common factor 356,355,688 is 1.
Lets's calculate LCM of 48,76,67
| 2 | 48, 76, 67 |
| 2 | 24, 38, 67 |
| 12, 19, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 12 x 19 x 67 = 61104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61104
Therefore, the GCF of Fractions 356/48,355/76,688/67 is 1/61104
Least Common Multiple of 48,76,67 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 48,76,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,76,67) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(48,76,67) x common factors =1 x 4 = 4
LCM(48,76,67) = ( 48 × 76 × 67 ) / 4
LCM(48,76,67) = 244416 / 4
LCM(48,76,67) = 61104
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FAQs on GCF of Fractions of 356/48, 355/76, 688/67
1. What is the HCF of 356,355,688?
The HCF of 356,355,688 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 356/48, 355/76, 688/67?
Answer: GCF of Numerators as per given numbers 356/48, 355/76, 688/67 is
GCF of Numerators i.e. for 356,355,688 is 1
LCM of denominators i.e. for 48,76,67 is 61104.
Thus, GCF of Fractions is 1/61104.Finally, GCF of Fractions for 356/48, 355/76, 688/67 is 1/61104.