Highest Common Factor of 48, 76, 694, 348 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 48, 76, 694, 348 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 48, 76, 694, 348 is 2 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 48, 76, 694, 348 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 48, 76, 694, 348 is 2.

HCF(48, 76, 694, 348) = 2

HCF of 48, 76, 694, 348 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 48, 76, 694, 348 is 2.

Highest Common Factor of 48,76,694,348 using Euclid's algorithm

Highest Common Factor of 48,76,694,348 is 2

Step 1: Since 76 > 48, we apply the division lemma to 76 and 48, to get

76 = 48 x 1 + 28

Step 2: Since the reminder 48 ≠ 0, we apply division lemma to 28 and 48, to get

48 = 28 x 1 + 20

Step 3: We consider the new divisor 28 and the new remainder 20, and apply the division lemma to get

28 = 20 x 1 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 48 and 76 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(48,28) = HCF(76,48) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 694 > 4, we apply the division lemma to 694 and 4, to get

694 = 4 x 173 + 2

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 694 is 2

Notice that 2 = HCF(4,2) = HCF(694,4) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 348 > 2, we apply the division lemma to 348 and 2, to get

348 = 2 x 174 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 348 is 2

Notice that 2 = HCF(348,2) .

HCF using Euclid's Algorithm Calculation Examples

Frequently Asked Questions on HCF of 48, 76, 694, 348 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 48, 76, 694, 348?

Answer: HCF of 48, 76, 694, 348 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 48, 76, 694, 348 using Euclid's Algorithm?

Answer: For arbitrary numbers 48, 76, 694, 348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.