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GCF of 283/70, 208/469

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 283/70, 208/469 i.e 1/4690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/70, 208/469.

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 283/70,208/469?

Given fractions are 283/70,208/469

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 283/70,208/469, numerators are 283,208

Denominators are 70,469

The GCF of 283,208 is 1 .

LCM of 70,469 is 4690.

The greatest common factor of 283/70,208/469 = [GCF of 283,208]/[LCM of 70,469]= 1/4690

Therefore, the GCF of 283/70,208/469 is 1/4690.

Greatest Common Factor of 283,208

To find the highest common factor of 283,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 283 are 1, 283

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 283,208 is 1.

Lets's calculate GCF of 283,208

Greatest Common Factor (GCF) of 283,208 By Common Division

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

Greatest Common Factor of 283,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,208 By Matching Biggest Common Factor Method

Now, list down the factors of 283

:

1,283

Now, list down the factors of 208

:

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 283,208 . The biggest common factor number is the GCF number.
So the greatest common factor 283,208 is 1.

Lets's calculate LCM of 70,469

Lowest Common Multiple of 70,469 using Common Division

7 70, 469
10, 67

∴ So the LCM of the given numbers is 7 x 10 x 67 = 4690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4690

Therefore, the GCF of Fractions 283/70,208/469 is 1/4690

Least Common Multiple of 70,469 with GCF Formula

Least Common Multiple of 70,469 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 70,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,469) = 7

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

GCF(70,469) x common factors =7 x 1 = 7

LCM(70,469) = ( 70 × 469 ) / 7

LCM(70,469) = 32830 / 7

LCM(70,469) = 4690


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FAQs on GCF of Fractions of 283/70, 208/469

1. What is the HCF of 283,208?

The HCF of 283,208 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 283/70, 208/469?

Answer: GCF of Numerators as per given numbers 283/70, 208/469 is

GCF of Numerators i.e. for 283,208 is 1

LCM of denominators i.e. for 70,469 is 4690.

Thus, GCF of Fractions is 1/4690.Finally, GCF of Fractions for 283/70, 208/469 is 1/4690.