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 662, 484 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 662, 484 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 662, 484 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 662, 484 is 2.
HCF(662, 484) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 662, 484 is 2.
Step 1: Since 662 > 484, we apply the division lemma to 662 and 484, to get
662 = 484 x 1 + 178
Step 2: Since the reminder 484 ≠ 0, we apply division lemma to 178 and 484, to get
484 = 178 x 2 + 128
Step 3: We consider the new divisor 178 and the new remainder 128, and apply the division lemma to get
178 = 128 x 1 + 50
We consider the new divisor 128 and the new remainder 50,and apply the division lemma to get
128 = 50 x 2 + 28
We consider the new divisor 50 and the new remainder 28,and apply the division lemma to get
50 = 28 x 1 + 22
We consider the new divisor 28 and the new remainder 22,and apply the division lemma to get
28 = 22 x 1 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 662 and 484 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(28,22) = HCF(50,28) = HCF(128,50) = HCF(178,128) = HCF(484,178) = HCF(662,484) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 662, 484?
Answer: HCF of 662, 484 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 662, 484 using Euclid's Algorithm?
Answer: For arbitrary numbers 662, 484 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.