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GCF of 469/680, 8594/1212

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 469/680, 8594/1212 i.e 1/206040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 469/680, 8594/1212.

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 469/680,8594/1212?

Given fractions are 469/680,8594/1212

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 469/680,8594/1212, numerators are 469,8594

Denominators are 680,1212

The GCF of 469,8594 is 1 .

LCM of 680,1212 is 206040.

The greatest common factor of 469/680,8594/1212 = [GCF of 469,8594]/[LCM of 680,1212]= 1/206040

Therefore, the GCF of 469/680,8594/1212 is 1/206040.

Greatest Common Factor of 469,8594

To find the highest common factor of 469,8594, we have to find the factors of both numbers and list the highest common factor.

The factors of 469 are 1, 7, 67, 469

The factors of 8594 are 1, 2, 4297, 8594

The HCF of 469,8594 is 1.

Lets's calculate GCF of 469,8594

Greatest Common Factor (GCF) of 469,8594 By Common Division

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

Greatest Common Factor of 469,8594 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,8594 By Matching Biggest Common Factor Method

Now, list down the factors of 469

:

1,7,67,469

Now, list down the factors of 8594

:

1,2,4297,8594

Greatest Common Factor

We found the factors 469,8594 . The biggest common factor number is the GCF number.
So the greatest common factor 469,8594 is 1.

Lets's calculate LCM of 680,1212

Lowest Common Multiple of 680,1212 using Common Division

2 680, 1212
2 340, 606
170, 303

∴ So the LCM of the given numbers is 2 x 2 x 170 x 303 = 206040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206040

Therefore, the GCF of Fractions 469/680,8594/1212 is 1/206040

Least Common Multiple of 680,1212 with GCF Formula

Least Common Multiple of 680,1212 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 680,1212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,1212) = 4

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

GCF(680,1212) x common factors =4 x 1 = 4

LCM(680,1212) = ( 680 × 1212 ) / 4

LCM(680,1212) = 824160 / 4

LCM(680,1212) = 206040


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FAQs on GCF of Fractions of 469/680, 8594/1212

1. What is the HCF of 469,8594?

The HCF of 469,8594 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 469/680, 8594/1212?

Answer: GCF of Numerators as per given numbers 469/680, 8594/1212 is

GCF of Numerators i.e. for 469,8594 is 1

LCM of denominators i.e. for 680,1212 is 206040.

Thus, GCF of Fractions is 1/206040.Finally, GCF of Fractions for 469/680, 8594/1212 is 1/206040.