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 2581, 7220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2581, 7220 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 2581, 7220 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 2581, 7220 is 1.
HCF(2581, 7220) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2581, 7220 is 1.
Step 1: Since 7220 > 2581, we apply the division lemma to 7220 and 2581, to get
7220 = 2581 x 2 + 2058
Step 2: Since the reminder 2581 ≠ 0, we apply division lemma to 2058 and 2581, to get
2581 = 2058 x 1 + 523
Step 3: We consider the new divisor 2058 and the new remainder 523, and apply the division lemma to get
2058 = 523 x 3 + 489
We consider the new divisor 523 and the new remainder 489,and apply the division lemma to get
523 = 489 x 1 + 34
We consider the new divisor 489 and the new remainder 34,and apply the division lemma to get
489 = 34 x 14 + 13
We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get
34 = 13 x 2 + 8
We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get
13 = 8 x 1 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2581 and 7220 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(489,34) = HCF(523,489) = HCF(2058,523) = HCF(2581,2058) = HCF(7220,2581) .
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 2581, 7220?
Answer: HCF of 2581, 7220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2581, 7220 using Euclid's Algorithm?
Answer: For arbitrary numbers 2581, 7220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.