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GCF of 434/703, 822/581

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 434/703, 822/581 i.e 2/408443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 434/703, 822/581.

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 434/703,822/581?

Given fractions are 434/703,822/581

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 434/703,822/581, numerators are 434,822

Denominators are 703,581

The GCF of 434,822 is 2 .

LCM of 703,581 is 408443.

The greatest common factor of 434/703,822/581 = [GCF of 434,822]/[LCM of 703,581]= 2/408443

Therefore, the GCF of 434/703,822/581 is 2/408443.

Greatest Common Factor of 434,822

To find the highest common factor of 434,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 434,822 is 2.

Lets's calculate GCF of 434,822

Greatest Common Factor (GCF) of 434,822 By Common Division

2 434, 822
217, 411

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 434,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,822 By Matching Biggest Common Factor Method

Now, list down the factors of 434

:

1,2,7,14,31,62,217,434

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 434,822 . The biggest common factor number is the GCF number.
So the greatest common factor 434,822 is 2.

Lets's calculate LCM of 703,581

Lowest Common Multiple of 703,581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 408443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/408443

Therefore, the GCF of Fractions 434/703,822/581 is 2/408443

Least Common Multiple of 703,581 with GCF Formula

Least Common Multiple of 703,581 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 703,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,581) = 1

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

GCF(703,581) x common factors =1 x 1 = 1

LCM(703,581) = ( 703 × 581 ) / 1

LCM(703,581) = 408443 / 1

LCM(703,581) = 408443


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FAQs on GCF of Fractions of 434/703, 822/581

1. What is the HCF of 434,822?

The HCF of 434,822 is 2

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 434/703, 822/581?

Answer: GCF of Numerators as per given numbers 434/703, 822/581 is

GCF of Numerators i.e. for 434,822 is 2

LCM of denominators i.e. for 703,581 is 408443.

Thus, GCF of Fractions is 2/408443.Finally, GCF of Fractions for 434/703, 822/581 is 2/408443.