How to Find GCF of 1283/148, 1785/9972?

GCF of 1283/148, 1785/9972

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 1283/148, 1785/9972 i.e 1/368964 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1283/148, 1785/9972.

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 1283/148,1785/9972?

Given fractions are 1283/148,1785/9972

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 1283/148,1785/9972, numerators are 1283,1785

Denominators are 148,9972

The GCF of 1283,1785 is 1 .

LCM of 148,9972 is 368964.

The greatest common factor of 1283/148,1785/9972 = [GCF of 1283,1785]/[LCM of 148,9972]= 1/368964

Therefore, the GCF of 1283/148,1785/9972 is 1/368964.

Greatest Common Factor of 1283,1785

To find the highest common factor of 1283,1785, we have to find the factors of both numbers and list the highest common factor.

The factors of 1283 are 1, 1283

The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785

The HCF of 1283,1785 is 1.

Lets's calculate GCF of 1283,1785

Greatest Common Factor (GCF) of 1283,1785 By Common Division

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

Greatest Common Factor of 1283,1785 By Matching Biggest Common Factor Method

Now, list down the factors of 1283

1,1283

Now, list down the factors of 1785

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors 1283,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 1283,1785 is 1.

Lets's calculate LCM of 148,9972

Lowest Common Multiple of 148,9972 using Common Division

2	148, 9972
2	74, 4986
	37, 2493

∴ So the LCM of the given numbers is 2 x 2 x 37 x 2493 = 368964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368964

Therefore, the GCF of Fractions 1283/148,1785/9972 is 1/368964

Least Common Multiple of 148,9972 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 148,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,9972) = 4

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

GCF(148,9972) x common factors =4 x 1 = 4

LCM(148,9972) = ( 148 × 9972 ) / 4

LCM(148,9972) = 1475856 / 4

LCM(148,9972) = 368964

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FAQs on GCF of Fractions of 1283/148, 1785/9972

1. What is the HCF of 1283,1785?

The HCF of 1283,1785 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 1283/148, 1785/9972?

Answer: GCF of Numerators as per given numbers 1283/148, 1785/9972 is

GCF of Numerators i.e. for 1283,1785 is 1

LCM of denominators i.e. for 148,9972 is 368964.

Thus, GCF of Fractions is 1/368964.Finally, GCF of Fractions for 1283/148, 1785/9972 is 1/368964.