How to Find GCF of 4972/702, 3208/401?

GCF of 4972/702, 3208/401

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 4972/702, 3208/401 i.e 4/281502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4972/702, 3208/401.

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 4972/702,3208/401?

Given fractions are 4972/702,3208/401

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 4972/702,3208/401, numerators are 4972,3208

Denominators are 702,401

The GCF of 4972,3208 is 4 .

LCM of 702,401 is 281502.

The greatest common factor of 4972/702,3208/401 = [GCF of 4972,3208]/[LCM of 702,401]= 4/281502

Therefore, the GCF of 4972/702,3208/401 is 4/281502.

Greatest Common Factor of 4972,3208

To find the highest common factor of 4972,3208, we have to find the factors of both numbers and list the highest common factor.

The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

The factors of 3208 are 1, 2, 4, 8, 401, 802, 1604, 3208

The HCF of 4972,3208 is 4.

Lets's calculate GCF of 4972,3208

Greatest Common Factor (GCF) of 4972,3208 By Common Division

2	4972, 3208
2	2486, 1604
	1243, 802

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

Greatest Common Factor of 4972,3208 By Matching Biggest Common Factor Method

Now, list down the factors of 4972

1,2,4,11,22,44,113,226,452,1243,2486,4972

Now, list down the factors of 3208

1,2,4,8,401,802,1604,3208

Greatest Common Factor

We found the factors 4972,3208 . The biggest common factor number is the GCF number.
So the greatest common factor 4972,3208 is 4.

Lets's calculate LCM of 702,401

Lowest Common Multiple of 702,401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 281502

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/281502

Therefore, the GCF of Fractions 4972/702,3208/401 is 4/281502

Least Common Multiple of 702,401 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 702,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,401) = 1

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

GCF(702,401) x common factors =1 x 1 = 1

LCM(702,401) = ( 702 × 401 ) / 1

LCM(702,401) = 281502 / 1

LCM(702,401) = 281502

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FAQs on GCF of Fractions of 4972/702, 3208/401

1. What is the HCF of 4972,3208?

The HCF of 4972,3208 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 4972/702, 3208/401?

Answer: GCF of Numerators as per given numbers 4972/702, 3208/401 is

GCF of Numerators i.e. for 4972,3208 is 4

LCM of denominators i.e. for 702,401 is 281502.

Thus, GCF of Fractions is 4/281502.Finally, GCF of Fractions for 4972/702, 3208/401 is 4/281502.