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GCF of 695/974, 669/148

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 695/974, 669/148 i.e 1/72076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/974, 669/148.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 695/974,669/148?

Given fractions are 695/974,669/148

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 695/974,669/148, numerators are 695,669

Denominators are 974,148

The GCF of 695,669 is 1 .

LCM of 974,148 is 72076.

The greatest common factor of 695/974,669/148 = [GCF of 695,669]/[LCM of 974,148]= 1/72076

Therefore, the GCF of 695/974,669/148 is 1/72076.

Greatest Common Factor of 695,669

To find the highest common factor of 695,669, we have to find the factors of both numbers and list the highest common factor.

The factors of 695 are 1, 5, 139, 695

The factors of 669 are 1, 3, 223, 669

The HCF of 695,669 is 1.

Lets's calculate GCF of 695,669

Greatest Common Factor (GCF) of 695,669 By Common Division

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

Greatest Common Factor of 695,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,669 By Matching Biggest Common Factor Method

Now, list down the factors of 695

:

1,5,139,695

Now, list down the factors of 669

:

1,3,223,669

Greatest Common Factor

We found the factors 695,669 . The biggest common factor number is the GCF number.
So the greatest common factor 695,669 is 1.

Lets's calculate LCM of 974,148

Lowest Common Multiple of 974,148 using Common Division

2 974, 148
487, 74

∴ So the LCM of the given numbers is 2 x 487 x 74 = 72076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72076

Therefore, the GCF of Fractions 695/974,669/148 is 1/72076

Least Common Multiple of 974,148 with GCF Formula

Least Common Multiple of 974,148 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 974,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,148) = 2

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

GCF(974,148) x common factors =2 x 1 = 2

LCM(974,148) = ( 974 × 148 ) / 2

LCM(974,148) = 144152 / 2

LCM(974,148) = 72076


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FAQs on GCF of Fractions of 695/974, 669/148

1. What is the HCF of 695,669?

The HCF of 695,669 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 695/974, 669/148?

Answer: GCF of Numerators as per given numbers 695/974, 669/148 is

GCF of Numerators i.e. for 695,669 is 1

LCM of denominators i.e. for 974,148 is 72076.

Thus, GCF of Fractions is 1/72076.Finally, GCF of Fractions for 695/974, 669/148 is 1/72076.