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 620, 744, 481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 620, 744, 481 is 1 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 620, 744, 481 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 620, 744, 481 is 1.
HCF(620, 744, 481) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 620, 744, 481 is 1.
Step 1: Since 744 > 620, we apply the division lemma to 744 and 620, to get
744 = 620 x 1 + 124
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 124 and 620, to get
620 = 124 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 124, the HCF of 620 and 744 is 124
Notice that 124 = HCF(620,124) = HCF(744,620) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 481 > 124, we apply the division lemma to 481 and 124, to get
481 = 124 x 3 + 109
Step 2: Since the reminder 124 ≠ 0, we apply division lemma to 109 and 124, to get
124 = 109 x 1 + 15
Step 3: We consider the new divisor 109 and the new remainder 15, and apply the division lemma to get
109 = 15 x 7 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 124 and 481 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(109,15) = HCF(124,109) = HCF(481,124) .
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 620, 744, 481?
Answer: HCF of 620, 744, 481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 620, 744, 481 using Euclid's Algorithm?
Answer: For arbitrary numbers 620, 744, 481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.