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 7022, 3735, 73642 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7022, 3735, 73642 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 7022, 3735, 73642 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 7022, 3735, 73642 is 1.
HCF(7022, 3735, 73642) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7022, 3735, 73642 is 1.
Step 1: Since 7022 > 3735, we apply the division lemma to 7022 and 3735, to get
7022 = 3735 x 1 + 3287
Step 2: Since the reminder 3735 ≠ 0, we apply division lemma to 3287 and 3735, to get
3735 = 3287 x 1 + 448
Step 3: We consider the new divisor 3287 and the new remainder 448, and apply the division lemma to get
3287 = 448 x 7 + 151
We consider the new divisor 448 and the new remainder 151,and apply the division lemma to get
448 = 151 x 2 + 146
We consider the new divisor 151 and the new remainder 146,and apply the division lemma to get
151 = 146 x 1 + 5
We consider the new divisor 146 and the new remainder 5,and apply the division lemma to get
146 = 5 x 29 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7022 and 3735 is 1
Notice that 1 = HCF(5,1) = HCF(146,5) = HCF(151,146) = HCF(448,151) = HCF(3287,448) = HCF(3735,3287) = HCF(7022,3735) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73642 > 1, we apply the division lemma to 73642 and 1, to get
73642 = 1 x 73642 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 73642 is 1
Notice that 1 = HCF(73642,1) .
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 7022, 3735, 73642?
Answer: HCF of 7022, 3735, 73642 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7022, 3735, 73642 using Euclid's Algorithm?
Answer: For arbitrary numbers 7022, 3735, 73642 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.