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GCF of 9769/434, 3257/1809

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 9769/434, 3257/1809 i.e 1/785106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9769/434, 3257/1809.

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 9769/434,3257/1809?

Given fractions are 9769/434,3257/1809

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 9769/434,3257/1809, numerators are 9769,3257

Denominators are 434,1809

The GCF of 9769,3257 is 1 .

LCM of 434,1809 is 785106.

The greatest common factor of 9769/434,3257/1809 = [GCF of 9769,3257]/[LCM of 434,1809]= 1/785106

Therefore, the GCF of 9769/434,3257/1809 is 1/785106.

Greatest Common Factor of 9769,3257

To find the highest common factor of 9769,3257, we have to find the factors of both numbers and list the highest common factor.

The factors of 9769 are 1, 9769

The factors of 3257 are 1, 3257

The HCF of 9769,3257 is 1.

Lets's calculate GCF of 9769,3257

Greatest Common Factor (GCF) of 9769,3257 By Common Division

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

Greatest Common Factor of 9769,3257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9769,3257 By Matching Biggest Common Factor Method

Now, list down the factors of 9769

:

1,9769

Now, list down the factors of 3257

:

1,3257

Greatest Common Factor

We found the factors 9769,3257 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,3257 is 1.

Lets's calculate LCM of 434,1809

Lowest Common Multiple of 434,1809 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 785106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/785106

Therefore, the GCF of Fractions 9769/434,3257/1809 is 1/785106

Least Common Multiple of 434,1809 with GCF Formula

Least Common Multiple of 434,1809 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 434,1809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(434,1809) = 1

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

GCF(434,1809) x common factors =1 x 1 = 1

LCM(434,1809) = ( 434 × 1809 ) / 1

LCM(434,1809) = 785106 / 1

LCM(434,1809) = 785106


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FAQs on GCF of Fractions of 9769/434, 3257/1809

1. What is the HCF of 9769,3257?

The HCF of 9769,3257 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 9769/434, 3257/1809?

Answer: GCF of Numerators as per given numbers 9769/434, 3257/1809 is

GCF of Numerators i.e. for 9769,3257 is 1

LCM of denominators i.e. for 434,1809 is 785106.

Thus, GCF of Fractions is 1/785106.Finally, GCF of Fractions for 9769/434, 3257/1809 is 1/785106.