How to Find GCF of 9688/598, 3407/9849?

GCF of 9688/598, 3407/9849

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 9688/598, 3407/9849 i.e 1/5889702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9688/598, 3407/9849.

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 9688/598,3407/9849?

Given fractions are 9688/598,3407/9849

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 9688/598,3407/9849, numerators are 9688,3407

Denominators are 598,9849

The GCF of 9688,3407 is 1 .

LCM of 598,9849 is 5889702.

The greatest common factor of 9688/598,3407/9849 = [GCF of 9688,3407]/[LCM of 598,9849]= 1/5889702

Therefore, the GCF of 9688/598,3407/9849 is 1/5889702.

Greatest Common Factor of 9688,3407

To find the highest common factor of 9688,3407, we have to find the factors of both numbers and list the highest common factor.

The factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688

The factors of 3407 are 1, 3407

The HCF of 9688,3407 is 1.

Lets's calculate GCF of 9688,3407

Greatest Common Factor (GCF) of 9688,3407 By Common Division

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

Greatest Common Factor of 9688,3407 By Matching Biggest Common Factor Method

Now, list down the factors of 9688

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

Now, list down the factors of 3407

1,3407

Greatest Common Factor

We found the factors 9688,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 9688,3407 is 1.

Lets's calculate LCM of 598,9849

Lowest Common Multiple of 598,9849 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5889702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5889702

Therefore, the GCF of Fractions 9688/598,3407/9849 is 1/5889702

Least Common Multiple of 598,9849 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 598,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,9849) = 1

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

GCF(598,9849) x common factors =1 x 1 = 1

LCM(598,9849) = ( 598 × 9849 ) / 1

LCM(598,9849) = 5889702 / 1

LCM(598,9849) = 5889702

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FAQs on GCF of Fractions of 9688/598, 3407/9849

1. What is the HCF of 9688,3407?

The HCF of 9688,3407 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 9688/598, 3407/9849?

Answer: GCF of Numerators as per given numbers 9688/598, 3407/9849 is

GCF of Numerators i.e. for 9688,3407 is 1

LCM of denominators i.e. for 598,9849 is 5889702.

Thus, GCF of Fractions is 1/5889702.Finally, GCF of Fractions for 9688/598, 3407/9849 is 1/5889702.