How to Find GCF of 429/222, 8047/4445?

GCF of 429/222, 8047/4445

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 429/222, 8047/4445 i.e 13/986790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 429/222, 8047/4445.

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 429/222,8047/4445?

Given fractions are 429/222,8047/4445

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 429/222,8047/4445, numerators are 429,8047

Denominators are 222,4445

The GCF of 429,8047 is 13 .

LCM of 222,4445 is 986790.

The greatest common factor of 429/222,8047/4445 = [GCF of 429,8047]/[LCM of 222,4445]= 13/986790

Therefore, the GCF of 429/222,8047/4445 is 13/986790.

Greatest Common Factor of 429,8047

To find the highest common factor of 429,8047, we have to find the factors of both numbers and list the highest common factor.

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The factors of 8047 are 1, 13, 619, 8047

The HCF of 429,8047 is 13.

Lets's calculate GCF of 429,8047

Greatest Common Factor (GCF) of 429,8047 By Common Division

13	429, 8047
	33, 619

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 429,8047 By Matching Biggest Common Factor Method

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Now, list down the factors of 8047

1,13,619,8047

Greatest Common Factor

We found the factors 429,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8047 is 13.

Lets's calculate LCM of 222,4445

Lowest Common Multiple of 222,4445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 986790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/986790

Therefore, the GCF of Fractions 429/222,8047/4445 is 13/986790

Least Common Multiple of 222,4445 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 222,4445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,4445) = 1

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

GCF(222,4445) x common factors =1 x 1 = 1

LCM(222,4445) = ( 222 × 4445 ) / 1

LCM(222,4445) = 986790 / 1

LCM(222,4445) = 986790

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FAQs on GCF of Fractions of 429/222, 8047/4445

1. What is the HCF of 429,8047?

The HCF of 429,8047 is 13

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 429/222, 8047/4445?

Answer: GCF of Numerators as per given numbers 429/222, 8047/4445 is

GCF of Numerators i.e. for 429,8047 is 13

LCM of denominators i.e. for 222,4445 is 986790.

Thus, GCF of Fractions is 13/986790.Finally, GCF of Fractions for 429/222, 8047/4445 is 13/986790.