How to Find GCF of 1048/209, 3212/5948?

GCF of 1048/209, 3212/5948

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 1048/209, 3212/5948 i.e 4/1243132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1048/209, 3212/5948.

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 1048/209,3212/5948?

Given fractions are 1048/209,3212/5948

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 1048/209,3212/5948, numerators are 1048,3212

Denominators are 209,5948

The GCF of 1048,3212 is 4 .

LCM of 209,5948 is 1243132.

The greatest common factor of 1048/209,3212/5948 = [GCF of 1048,3212]/[LCM of 209,5948]= 4/1243132

Therefore, the GCF of 1048/209,3212/5948 is 4/1243132.

Greatest Common Factor of 1048,3212

To find the highest common factor of 1048,3212, we have to find the factors of both numbers and list the highest common factor.

The factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048

The factors of 3212 are 1, 2, 4, 11, 22, 44, 73, 146, 292, 803, 1606, 3212

The HCF of 1048,3212 is 4.

Lets's calculate GCF of 1048,3212

Greatest Common Factor (GCF) of 1048,3212 By Common Division

2	1048, 3212
2	524, 1606
	262, 803

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

Greatest Common Factor of 1048,3212 By Matching Biggest Common Factor Method

Now, list down the factors of 1048

1,2,4,8,131,262,524,1048

Now, list down the factors of 3212

1,2,4,11,22,44,73,146,292,803,1606,3212

Greatest Common Factor

We found the factors 1048,3212 . The biggest common factor number is the GCF number.
So the greatest common factor 1048,3212 is 4.

Lets's calculate LCM of 209,5948

Lowest Common Multiple of 209,5948 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1243132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1243132

Therefore, the GCF of Fractions 1048/209,3212/5948 is 4/1243132

Least Common Multiple of 209,5948 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 209,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,5948) = 1

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

GCF(209,5948) x common factors =1 x 1 = 1

LCM(209,5948) = ( 209 × 5948 ) / 1

LCM(209,5948) = 1243132 / 1

LCM(209,5948) = 1243132

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FAQs on GCF of Fractions of 1048/209, 3212/5948

1. What is the HCF of 1048,3212?

The HCF of 1048,3212 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 1048/209, 3212/5948?

Answer: GCF of Numerators as per given numbers 1048/209, 3212/5948 is

GCF of Numerators i.e. for 1048,3212 is 4

LCM of denominators i.e. for 209,5948 is 1243132.

Thus, GCF of Fractions is 4/1243132.Finally, GCF of Fractions for 1048/209, 3212/5948 is 4/1243132.