How to Find GCF of 3495/640, 4208/7738?

GCF of 3495/640, 4208/7738

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 3495/640, 4208/7738 i.e 1/2476160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3495/640, 4208/7738.

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 3495/640,4208/7738?

Given fractions are 3495/640,4208/7738

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 3495/640,4208/7738, numerators are 3495,4208

Denominators are 640,7738

The GCF of 3495,4208 is 1 .

LCM of 640,7738 is 2476160.

The greatest common factor of 3495/640,4208/7738 = [GCF of 3495,4208]/[LCM of 640,7738]= 1/2476160

Therefore, the GCF of 3495/640,4208/7738 is 1/2476160.

Greatest Common Factor of 3495,4208

To find the highest common factor of 3495,4208, we have to find the factors of both numbers and list the highest common factor.

The factors of 3495 are 1, 3, 5, 15, 233, 699, 1165, 3495

The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

The HCF of 3495,4208 is 1.

Lets's calculate GCF of 3495,4208

Greatest Common Factor (GCF) of 3495,4208 By Common Division

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

Greatest Common Factor of 3495,4208 By Matching Biggest Common Factor Method

Now, list down the factors of 3495

1,3,5,15,233,699,1165,3495

Now, list down the factors of 4208

1,2,4,8,16,263,526,1052,2104,4208

Greatest Common Factor

We found the factors 3495,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 3495,4208 is 1.

Lets's calculate LCM of 640,7738

Lowest Common Multiple of 640,7738 using Common Division

2	640, 7738
	320, 3869

∴ So the LCM of the given numbers is 2 x 320 x 3869 = 2476160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2476160

Therefore, the GCF of Fractions 3495/640,4208/7738 is 1/2476160

Least Common Multiple of 640,7738 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 640,7738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,7738) = 2

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

GCF(640,7738) x common factors =2 x 1 = 2

LCM(640,7738) = ( 640 × 7738 ) / 2

LCM(640,7738) = 4952320 / 2

LCM(640,7738) = 2476160

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FAQs on GCF of Fractions of 3495/640, 4208/7738

1. What is the HCF of 3495,4208?

The HCF of 3495,4208 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 3495/640, 4208/7738?

Answer: GCF of Numerators as per given numbers 3495/640, 4208/7738 is

GCF of Numerators i.e. for 3495,4208 is 1

LCM of denominators i.e. for 640,7738 is 2476160.

Thus, GCF of Fractions is 1/2476160.Finally, GCF of Fractions for 3495/640, 4208/7738 is 1/2476160.