How to Find GCF of 7014/308, 1481/374?

GCF of 7014/308, 1481/374

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 7014/308, 1481/374 i.e 1/5236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7014/308, 1481/374.

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 7014/308,1481/374?

Given fractions are 7014/308,1481/374

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 7014/308,1481/374, numerators are 7014,1481

Denominators are 308,374

The GCF of 7014,1481 is 1 .

LCM of 308,374 is 5236.

The greatest common factor of 7014/308,1481/374 = [GCF of 7014,1481]/[LCM of 308,374]= 1/5236

Therefore, the GCF of 7014/308,1481/374 is 1/5236.

Greatest Common Factor of 7014,1481

To find the highest common factor of 7014,1481, we have to find the factors of both numbers and list the highest common factor.

The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014

The factors of 1481 are 1, 1481

The HCF of 7014,1481 is 1.

Lets's calculate GCF of 7014,1481

Greatest Common Factor (GCF) of 7014,1481 By Common Division

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

Greatest Common Factor of 7014,1481 By Matching Biggest Common Factor Method

Now, list down the factors of 7014

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Now, list down the factors of 1481

1,1481

Greatest Common Factor

We found the factors 7014,1481 . The biggest common factor number is the GCF number.
So the greatest common factor 7014,1481 is 1.

Lets's calculate LCM of 308,374

Lowest Common Multiple of 308,374 using Common Division

2	308, 374
11	154, 187
	14, 17

∴ So the LCM of the given numbers is 2 x 11 x 14 x 17 = 5236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5236

Therefore, the GCF of Fractions 7014/308,1481/374 is 1/5236

Least Common Multiple of 308,374 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 308,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,374) = 22

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

GCF(308,374) x common factors =22 x 1 = 22

LCM(308,374) = ( 308 × 374 ) / 22

LCM(308,374) = 115192 / 22

LCM(308,374) = 5236

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FAQs on GCF of Fractions of 7014/308, 1481/374

1. What is the HCF of 7014,1481?

The HCF of 7014,1481 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 7014/308, 1481/374?

Answer: GCF of Numerators as per given numbers 7014/308, 1481/374 is

GCF of Numerators i.e. for 7014,1481 is 1

LCM of denominators i.e. for 308,374 is 5236.

Thus, GCF of Fractions is 1/5236.Finally, GCF of Fractions for 7014/308, 1481/374 is 1/5236.