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GCF of 9693/925, 1283/2445

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 9693/925, 1283/2445 i.e 1/452325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9693/925, 1283/2445.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9693/925,1283/2445?

Given fractions are 9693/925,1283/2445

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 9693/925,1283/2445, numerators are 9693,1283

Denominators are 925,2445

The GCF of 9693,1283 is 1 .

LCM of 925,2445 is 452325.

The greatest common factor of 9693/925,1283/2445 = [GCF of 9693,1283]/[LCM of 925,2445]= 1/452325

Therefore, the GCF of 9693/925,1283/2445 is 1/452325.

Greatest Common Factor of 9693,1283

To find the highest common factor of 9693,1283, we have to find the factors of both numbers and list the highest common factor.

The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693

The factors of 1283 are 1, 1283

The HCF of 9693,1283 is 1.

Lets's calculate GCF of 9693,1283

Greatest Common Factor (GCF) of 9693,1283 By Common Division

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

Greatest Common Factor of 9693,1283 By Matching Biggest Common Factor Method

Greatest Common Factor of 9693,1283 By Matching Biggest Common Factor Method

Now, list down the factors of 9693

:

1,3,9,27,359,1077,3231,9693

Now, list down the factors of 1283

:

1,1283

Greatest Common Factor

We found the factors 9693,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,1283 is 1.

Lets's calculate LCM of 925,2445

Lowest Common Multiple of 925,2445 using Common Division

5 925, 2445
185, 489

∴ So the LCM of the given numbers is 5 x 185 x 489 = 452325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452325

Therefore, the GCF of Fractions 9693/925,1283/2445 is 1/452325

Least Common Multiple of 925,2445 with GCF Formula

Least Common Multiple of 925,2445 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 925,2445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,2445) = 5

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

GCF(925,2445) x common factors =5 x 1 = 5

LCM(925,2445) = ( 925 × 2445 ) / 5

LCM(925,2445) = 2261625 / 5

LCM(925,2445) = 452325


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FAQs on GCF of Fractions of 9693/925, 1283/2445

1. What is the HCF of 9693,1283?

The HCF of 9693,1283 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 9693/925, 1283/2445?

Answer: GCF of Numerators as per given numbers 9693/925, 1283/2445 is

GCF of Numerators i.e. for 9693,1283 is 1

LCM of denominators i.e. for 925,2445 is 452325.

Thus, GCF of Fractions is 1/452325.Finally, GCF of Fractions for 9693/925, 1283/2445 is 1/452325.