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 3220, 7022 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3220, 7022 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 3220, 7022 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 3220, 7022 is 2.
HCF(3220, 7022) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3220, 7022 is 2.
Step 1: Since 7022 > 3220, we apply the division lemma to 7022 and 3220, to get
7022 = 3220 x 2 + 582
Step 2: Since the reminder 3220 ≠ 0, we apply division lemma to 582 and 3220, to get
3220 = 582 x 5 + 310
Step 3: We consider the new divisor 582 and the new remainder 310, and apply the division lemma to get
582 = 310 x 1 + 272
We consider the new divisor 310 and the new remainder 272,and apply the division lemma to get
310 = 272 x 1 + 38
We consider the new divisor 272 and the new remainder 38,and apply the division lemma to get
272 = 38 x 7 + 6
We consider the new divisor 38 and the new remainder 6,and apply the division lemma to get
38 = 6 x 6 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3220 and 7022 is 2
Notice that 2 = HCF(6,2) = HCF(38,6) = HCF(272,38) = HCF(310,272) = HCF(582,310) = HCF(3220,582) = HCF(7022,3220) .
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 3220, 7022?
Answer: HCF of 3220, 7022 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3220, 7022 using Euclid's Algorithm?
Answer: For arbitrary numbers 3220, 7022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.