How to Find GCF of 9649/483, 1948/9676?

GCF of 9649/483, 1948/9676

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 9649/483, 1948/9676 i.e 1/4673508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9649/483, 1948/9676.

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 9649/483,1948/9676?

Given fractions are 9649/483,1948/9676

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 9649/483,1948/9676, numerators are 9649,1948

Denominators are 483,9676

The GCF of 9649,1948 is 1 .

LCM of 483,9676 is 4673508.

The greatest common factor of 9649/483,1948/9676 = [GCF of 9649,1948]/[LCM of 483,9676]= 1/4673508

Therefore, the GCF of 9649/483,1948/9676 is 1/4673508.

Greatest Common Factor of 9649,1948

To find the highest common factor of 9649,1948, we have to find the factors of both numbers and list the highest common factor.

The factors of 9649 are 1, 9649

The factors of 1948 are 1, 2, 4, 487, 974, 1948

The HCF of 9649,1948 is 1.

Lets's calculate GCF of 9649,1948

Greatest Common Factor (GCF) of 9649,1948 By Common Division

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

Greatest Common Factor of 9649,1948 By Matching Biggest Common Factor Method

Now, list down the factors of 9649

1,9649

Now, list down the factors of 1948

1,2,4,487,974,1948

Greatest Common Factor

We found the factors 9649,1948 . The biggest common factor number is the GCF number.
So the greatest common factor 9649,1948 is 1.

Lets's calculate LCM of 483,9676

Lowest Common Multiple of 483,9676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4673508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4673508

Therefore, the GCF of Fractions 9649/483,1948/9676 is 1/4673508

Least Common Multiple of 483,9676 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 483,9676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,9676) = 1

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

GCF(483,9676) x common factors =1 x 1 = 1

LCM(483,9676) = ( 483 × 9676 ) / 1

LCM(483,9676) = 4673508 / 1

LCM(483,9676) = 4673508

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FAQs on GCF of Fractions of 9649/483, 1948/9676

1. What is the HCF of 9649,1948?

The HCF of 9649,1948 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 9649/483, 1948/9676?

Answer: GCF of Numerators as per given numbers 9649/483, 1948/9676 is

GCF of Numerators i.e. for 9649,1948 is 1

LCM of denominators i.e. for 483,9676 is 4673508.

Thus, GCF of Fractions is 1/4673508.Finally, GCF of Fractions for 9649/483, 1948/9676 is 1/4673508.