How to Find GCF of 7076/948, 3581/9796?

GCF of 7076/948, 3581/9796

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 7076/948, 3581/9796 i.e 1/29388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7076/948, 3581/9796.

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 7076/948,3581/9796?

Given fractions are 7076/948,3581/9796

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 7076/948,3581/9796, numerators are 7076,3581

Denominators are 948,9796

The GCF of 7076,3581 is 1 .

LCM of 948,9796 is 29388.

The greatest common factor of 7076/948,3581/9796 = [GCF of 7076,3581]/[LCM of 948,9796]= 1/29388

Therefore, the GCF of 7076/948,3581/9796 is 1/29388.

Greatest Common Factor of 7076,3581

To find the highest common factor of 7076,3581, we have to find the factors of both numbers and list the highest common factor.

The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

The factors of 3581 are 1, 3581

The HCF of 7076,3581 is 1.

Lets's calculate GCF of 7076,3581

Greatest Common Factor (GCF) of 7076,3581 By Common Division

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

Greatest Common Factor of 7076,3581 By Matching Biggest Common Factor Method

Now, list down the factors of 7076

1,2,4,29,58,61,116,122,244,1769,3538,7076

Now, list down the factors of 3581

1,3581

Greatest Common Factor

We found the factors 7076,3581 . The biggest common factor number is the GCF number.
So the greatest common factor 7076,3581 is 1.

Lets's calculate LCM of 948,9796

Lowest Common Multiple of 948,9796 using Common Division

2	948, 9796
2	474, 4898
79	237, 2449
	3, 31

∴ So the LCM of the given numbers is 2 x 2 x 79 x 3 x 31 = 29388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29388

Therefore, the GCF of Fractions 7076/948,3581/9796 is 1/29388

Least Common Multiple of 948,9796 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 948,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,9796) = 316

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

GCF(948,9796) x common factors =316 x 1 = 316

LCM(948,9796) = ( 948 × 9796 ) / 316

LCM(948,9796) = 9286608 / 316

LCM(948,9796) = 29388

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FAQs on GCF of Fractions of 7076/948, 3581/9796

1. What is the HCF of 7076,3581?

The HCF of 7076,3581 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 7076/948, 3581/9796?

Answer: GCF of Numerators as per given numbers 7076/948, 3581/9796 is

GCF of Numerators i.e. for 7076,3581 is 1

LCM of denominators i.e. for 948,9796 is 29388.

Thus, GCF of Fractions is 1/29388.Finally, GCF of Fractions for 7076/948, 3581/9796 is 1/29388.