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GCF of 571/390, 319/834

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 571/390, 319/834 i.e 1/54210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 571/390, 319/834.

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 571/390,319/834?

Given fractions are 571/390,319/834

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 571/390,319/834, numerators are 571,319

Denominators are 390,834

The GCF of 571,319 is 1 .

LCM of 390,834 is 54210.

The greatest common factor of 571/390,319/834 = [GCF of 571,319]/[LCM of 390,834]= 1/54210

Therefore, the GCF of 571/390,319/834 is 1/54210.

Greatest Common Factor of 571,319

To find the highest common factor of 571,319, we have to find the factors of both numbers and list the highest common factor.

The factors of 571 are 1, 571

The factors of 319 are 1, 11, 29, 319

The HCF of 571,319 is 1.

Lets's calculate GCF of 571,319

Greatest Common Factor (GCF) of 571,319 By Common Division

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

Greatest Common Factor of 571,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 571,319 By Matching Biggest Common Factor Method

Now, list down the factors of 571

:

1,571

Now, list down the factors of 319

:

1,11,29,319

Greatest Common Factor

We found the factors 571,319 . The biggest common factor number is the GCF number.
So the greatest common factor 571,319 is 1.

Lets's calculate LCM of 390,834

Lowest Common Multiple of 390,834 using Common Division

2 390, 834
3 195, 417
65, 139

∴ So the LCM of the given numbers is 2 x 3 x 65 x 139 = 54210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54210

Therefore, the GCF of Fractions 571/390,319/834 is 1/54210

Least Common Multiple of 390,834 with GCF Formula

Least Common Multiple of 390,834 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 390,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,834) = 6

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

GCF(390,834) x common factors =6 x 1 = 6

LCM(390,834) = ( 390 × 834 ) / 6

LCM(390,834) = 325260 / 6

LCM(390,834) = 54210


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FAQs on GCF of Fractions of 571/390, 319/834

1. What is the HCF of 571,319?

The HCF of 571,319 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 571/390, 319/834?

Answer: GCF of Numerators as per given numbers 571/390, 319/834 is

GCF of Numerators i.e. for 571,319 is 1

LCM of denominators i.e. for 390,834 is 54210.

Thus, GCF of Fractions is 1/54210.Finally, GCF of Fractions for 571/390, 319/834 is 1/54210.