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GCF of 1097/483, 3142/7953

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 1097/483, 3142/7953 i.e 1/1280433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1097/483, 3142/7953.

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 1097/483,3142/7953?

Given fractions are 1097/483,3142/7953

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 1097/483,3142/7953, numerators are 1097,3142

Denominators are 483,7953

The GCF of 1097,3142 is 1 .

LCM of 483,7953 is 1280433.

The greatest common factor of 1097/483,3142/7953 = [GCF of 1097,3142]/[LCM of 483,7953]= 1/1280433

Therefore, the GCF of 1097/483,3142/7953 is 1/1280433.

Greatest Common Factor of 1097,3142

To find the highest common factor of 1097,3142, we have to find the factors of both numbers and list the highest common factor.

The factors of 1097 are 1, 1097

The factors of 3142 are 1, 2, 1571, 3142

The HCF of 1097,3142 is 1.

Lets's calculate GCF of 1097,3142

Greatest Common Factor (GCF) of 1097,3142 By Common Division

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

Greatest Common Factor of 1097,3142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1097,3142 By Matching Biggest Common Factor Method

Now, list down the factors of 1097

:

1,1097

Now, list down the factors of 3142

:

1,2,1571,3142

Greatest Common Factor

We found the factors 1097,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 1097,3142 is 1.

Lets's calculate LCM of 483,7953

Lowest Common Multiple of 483,7953 using Common Division

3 483, 7953
161, 2651

∴ So the LCM of the given numbers is 3 x 161 x 2651 = 1280433

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1280433

Therefore, the GCF of Fractions 1097/483,3142/7953 is 1/1280433

Least Common Multiple of 483,7953 with GCF Formula

Least Common Multiple of 483,7953 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 483,7953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,7953) = 3

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

GCF(483,7953) x common factors =3 x 1 = 3

LCM(483,7953) = ( 483 × 7953 ) / 3

LCM(483,7953) = 3841299 / 3

LCM(483,7953) = 1280433


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FAQs on GCF of Fractions of 1097/483, 3142/7953

1. What is the HCF of 1097,3142?

The HCF of 1097,3142 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 1097/483, 3142/7953?

Answer: GCF of Numerators as per given numbers 1097/483, 3142/7953 is

GCF of Numerators i.e. for 1097,3142 is 1

LCM of denominators i.e. for 483,7953 is 1280433.

Thus, GCF of Fractions is 1/1280433.Finally, GCF of Fractions for 1097/483, 3142/7953 is 1/1280433.