GCF of 62/696, 49/487, 353/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 62/696, 49/487, 353/362 i.e 1/61350312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/696, 49/487, 353/362.
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 62/696,49/487,353/362?
Given fractions are 62/696,49/487,353/362
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 62/696,49/487,353/362, numerators are 62,49,353
Denominators are 696,487,362
The GCF of 62,49,353 is 1 .
LCM of 696,487,362 is 61350312.
The greatest common factor of 62/696,49/487,353/362 = [GCF of 62,49,353]/[LCM of 696,487,362]= 1/61350312
Therefore, the GCF of 62/696,49/487,353/362 is 1/61350312.
To find the highest common factor of 62,49,353, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 49 are 1, 7, 49
The factors of 353 are 1, 353
The HCF of 62,49,353 is 1.
Lets's calculate GCF of 62,49,353
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 62,49,353 By Matching Biggest Common Factor Method
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 353
:1,353
Greatest Common Factor
We found the factors 62,49,353 . The biggest common factor number is the GCF number.
So the greatest common factor 62,49,353 is 1.
Lets's calculate LCM of 696,487,362
| 2 | 696, 487, 362 |
| 348, 487, 181 |
∴ So the LCM of the given numbers is 2 x 348 x 487 x 181 = 61350312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61350312
Therefore, the GCF of Fractions 62/696,49/487,353/362 is 1/61350312
Least Common Multiple of 696,487,362 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 696,487,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,487,362) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(696,487,362) x common factors =1 x 2 = 2
LCM(696,487,362) = ( 696 × 487 × 362 ) / 2
LCM(696,487,362) = 122700624 / 2
LCM(696,487,362) = 61350312
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FAQs on GCF of Fractions of 62/696, 49/487, 353/362
1. What is the HCF of 62,49,353?
The HCF of 62,49,353 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 62/696, 49/487, 353/362?
Answer: GCF of Numerators as per given numbers 62/696, 49/487, 353/362 is
GCF of Numerators i.e. for 62,49,353 is 1
LCM of denominators i.e. for 696,487,362 is 61350312.
Thus, GCF of Fractions is 1/61350312.Finally, GCF of Fractions for 62/696, 49/487, 353/362 is 1/61350312.