Highest Common Factor of 948, 914 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 948, 914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 948, 914 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 948, 914 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 948, 914 is 2.

HCF(948, 914) = 2

HCF of 948, 914 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 948, 914 is 2.

Highest Common Factor of 948,914 using Euclid's algorithm

Highest Common Factor of 948,914 is 2

Step 1: Since 948 > 914, we apply the division lemma to 948 and 914, to get

948 = 914 x 1 + 34

Step 2: Since the reminder 914 ≠ 0, we apply division lemma to 34 and 914, to get

914 = 34 x 26 + 30

Step 3: We consider the new divisor 34 and the new remainder 30, and apply the division lemma to get

34 = 30 x 1 + 4

We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get

30 = 4 x 7 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 948 and 914 is 2

Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(914,34) = HCF(948,914) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 948, 914 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 948, 914?

Answer: HCF of 948, 914 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 948, 914 using Euclid's Algorithm?

Answer: For arbitrary numbers 948, 914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.