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GCF of 4812/935, 3436/922

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 4812/935, 3436/922 i.e 4/862070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4812/935, 3436/922.

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 4812/935,3436/922?

Given fractions are 4812/935,3436/922

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 4812/935,3436/922, numerators are 4812,3436

Denominators are 935,922

The GCF of 4812,3436 is 4 .

LCM of 935,922 is 862070.

The greatest common factor of 4812/935,3436/922 = [GCF of 4812,3436]/[LCM of 935,922]= 4/862070

Therefore, the GCF of 4812/935,3436/922 is 4/862070.

Greatest Common Factor of 4812,3436

To find the highest common factor of 4812,3436, we have to find the factors of both numbers and list the highest common factor.

The factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812

The factors of 3436 are 1, 2, 4, 859, 1718, 3436

The HCF of 4812,3436 is 4.

Lets's calculate GCF of 4812,3436

Greatest Common Factor (GCF) of 4812,3436 By Common Division

2 4812, 3436
2 2406, 1718
1203, 859

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4812,3436 By Matching Biggest Common Factor Method

Greatest Common Factor of 4812,3436 By Matching Biggest Common Factor Method

Now, list down the factors of 4812

:

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Now, list down the factors of 3436

:

1,2,4,859,1718,3436

Greatest Common Factor

We found the factors 4812,3436 . The biggest common factor number is the GCF number.
So the greatest common factor 4812,3436 is 4.


Lets's calculate LCM of 935,922

Lowest Common Multiple of 935,922 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 862070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/862070

Therefore, the GCF of Fractions 4812/935,3436/922 is 4/862070

Least Common Multiple of 935,922 with GCF Formula

Least Common Multiple of 935,922 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 935,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,922) = 1

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

GCF(935,922) x common factors =1 x 1 = 1

LCM(935,922) = ( 935 × 922 ) / 1

LCM(935,922) = 862070 / 1

LCM(935,922) = 862070


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4812/935, 3436/922

1. What is the HCF of 4812,3436?

The HCF of 4812,3436 is 4

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 4812/935, 3436/922?

Answer: GCF of Numerators as per given numbers 4812/935, 3436/922 is

GCF of Numerators i.e. for 4812,3436 is 4

LCM of denominators i.e. for 935,922 is 862070.

Thus, GCF of Fractions is 4/862070.Finally, GCF of Fractions for 4812/935, 3436/922 is 4/862070.