How to Find GCF of 1286/248, 7697/1488?

GCF of 1286/248, 7697/1488

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 1286/248, 7697/1488 i.e 1/1488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1286/248, 7697/1488.

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 1286/248,7697/1488?

Given fractions are 1286/248,7697/1488

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 1286/248,7697/1488, numerators are 1286,7697

Denominators are 248,1488

The GCF of 1286,7697 is 1 .

LCM of 248,1488 is 1488.

The greatest common factor of 1286/248,7697/1488 = [GCF of 1286,7697]/[LCM of 248,1488]= 1/1488

Therefore, the GCF of 1286/248,7697/1488 is 1/1488.

Greatest Common Factor of 1286,7697

To find the highest common factor of 1286,7697, we have to find the factors of both numbers and list the highest common factor.

The factors of 1286 are 1, 2, 643, 1286

The factors of 7697 are 1, 43, 179, 7697

The HCF of 1286,7697 is 1.

Lets's calculate GCF of 1286,7697

Greatest Common Factor (GCF) of 1286,7697 By Common Division

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

Greatest Common Factor of 1286,7697 By Matching Biggest Common Factor Method

Now, list down the factors of 1286

1,2,643,1286

Now, list down the factors of 7697

1,43,179,7697

Greatest Common Factor

We found the factors 1286,7697 . The biggest common factor number is the GCF number.
So the greatest common factor 1286,7697 is 1.

Lets's calculate LCM of 248,1488

Lowest Common Multiple of 248,1488 using Common Division

2	248, 1488
2	124, 744
2	62, 372
31	31, 186
	1, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 1 x 6 = 1488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1488

Therefore, the GCF of Fractions 1286/248,7697/1488 is 1/1488

Least Common Multiple of 248,1488 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 248,1488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,1488) = 248

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

GCF(248,1488) x common factors =248 x 1 = 248

LCM(248,1488) = ( 248 × 1488 ) / 248

LCM(248,1488) = 369024 / 248

LCM(248,1488) = 1488

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FAQs on GCF of Fractions of 1286/248, 7697/1488

1. What is the HCF of 1286,7697?

The HCF of 1286,7697 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 1286/248, 7697/1488?

Answer: GCF of Numerators as per given numbers 1286/248, 7697/1488 is

GCF of Numerators i.e. for 1286,7697 is 1

LCM of denominators i.e. for 248,1488 is 1488.

Thus, GCF of Fractions is 1/1488.Finally, GCF of Fractions for 1286/248, 7697/1488 is 1/1488.