How to Find GCF of 1105/692, 6404/7753?

GCF of 1105/692, 6404/7753

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 1105/692, 6404/7753 i.e 1/5365076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/692, 6404/7753.

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 1105/692,6404/7753?

Given fractions are 1105/692,6404/7753

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 1105/692,6404/7753, numerators are 1105,6404

Denominators are 692,7753

The GCF of 1105,6404 is 1 .

LCM of 692,7753 is 5365076.

The greatest common factor of 1105/692,6404/7753 = [GCF of 1105,6404]/[LCM of 692,7753]= 1/5365076

Therefore, the GCF of 1105/692,6404/7753 is 1/5365076.

Greatest Common Factor of 1105,6404

To find the highest common factor of 1105,6404, we have to find the factors of both numbers and list the highest common factor.

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The factors of 6404 are 1, 2, 4, 1601, 3202, 6404

The HCF of 1105,6404 is 1.

Lets's calculate GCF of 1105,6404

Greatest Common Factor (GCF) of 1105,6404 By Common Division

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

Greatest Common Factor of 1105,6404 By Matching Biggest Common Factor Method

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Now, list down the factors of 6404

1,2,4,1601,3202,6404

Greatest Common Factor

We found the factors 1105,6404 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,6404 is 1.

Lets's calculate LCM of 692,7753

Lowest Common Multiple of 692,7753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5365076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5365076

Therefore, the GCF of Fractions 1105/692,6404/7753 is 1/5365076

Least Common Multiple of 692,7753 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 692,7753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,7753) = 1

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

GCF(692,7753) x common factors =1 x 1 = 1

LCM(692,7753) = ( 692 × 7753 ) / 1

LCM(692,7753) = 5365076 / 1

LCM(692,7753) = 5365076

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FAQs on GCF of Fractions of 1105/692, 6404/7753

1. What is the HCF of 1105,6404?

The HCF of 1105,6404 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 1105/692, 6404/7753?

Answer: GCF of Numerators as per given numbers 1105/692, 6404/7753 is

GCF of Numerators i.e. for 1105,6404 is 1

LCM of denominators i.e. for 692,7753 is 5365076.

Thus, GCF of Fractions is 1/5365076.Finally, GCF of Fractions for 1105/692, 6404/7753 is 1/5365076.