How to Find GCF of 3893/357, 9107/9652?

GCF of 3893/357, 9107/9652

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3893/357, 9107/9652 i.e 1/3445764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3893/357, 9107/9652.

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 3893/357,9107/9652?

Given fractions are 3893/357,9107/9652

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 3893/357,9107/9652, numerators are 3893,9107

Denominators are 357,9652

The GCF of 3893,9107 is 1 .

LCM of 357,9652 is 3445764.

The greatest common factor of 3893/357,9107/9652 = [GCF of 3893,9107]/[LCM of 357,9652]= 1/3445764

Therefore, the GCF of 3893/357,9107/9652 is 1/3445764.

Greatest Common Factor of 3893,9107

To find the highest common factor of 3893,9107, we have to find the factors of both numbers and list the highest common factor.

The factors of 3893 are 1, 17, 229, 3893

The factors of 9107 are 1, 7, 1301, 9107

The HCF of 3893,9107 is 1.

Lets's calculate GCF of 3893,9107

Greatest Common Factor (GCF) of 3893,9107 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3893,9107 By Matching Biggest Common Factor Method

Now, list down the factors of 3893

1,17,229,3893

Now, list down the factors of 9107

1,7,1301,9107

Greatest Common Factor

We found the factors 3893,9107 . The biggest common factor number is the GCF number.
So the greatest common factor 3893,9107 is 1.

Lets's calculate LCM of 357,9652

Lowest Common Multiple of 357,9652 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3445764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3445764

Therefore, the GCF of Fractions 3893/357,9107/9652 is 1/3445764

Least Common Multiple of 357,9652 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 357,9652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,9652) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(357,9652) x common factors =1 x 1 = 1

LCM(357,9652) = ( 357 × 9652 ) / 1

LCM(357,9652) = 3445764 / 1

LCM(357,9652) = 3445764

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FAQs on GCF of Fractions of 3893/357, 9107/9652

1. What is the HCF of 3893,9107?

The HCF of 3893,9107 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 3893/357, 9107/9652?

Answer: GCF of Numerators as per given numbers 3893/357, 9107/9652 is

GCF of Numerators i.e. for 3893,9107 is 1

LCM of denominators i.e. for 357,9652 is 3445764.

Thus, GCF of Fractions is 1/3445764.Finally, GCF of Fractions for 3893/357, 9107/9652 is 1/3445764.