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 5671, 7220 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5671, 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 5671, 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 5671, 7220 is 1.
HCF(5671, 7220) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5671, 7220 is 1.
Step 1: Since 7220 > 5671, we apply the division lemma to 7220 and 5671, to get
7220 = 5671 x 1 + 1549
Step 2: Since the reminder 5671 ≠ 0, we apply division lemma to 1549 and 5671, to get
5671 = 1549 x 3 + 1024
Step 3: We consider the new divisor 1549 and the new remainder 1024, and apply the division lemma to get
1549 = 1024 x 1 + 525
We consider the new divisor 1024 and the new remainder 525,and apply the division lemma to get
1024 = 525 x 1 + 499
We consider the new divisor 525 and the new remainder 499,and apply the division lemma to get
525 = 499 x 1 + 26
We consider the new divisor 499 and the new remainder 26,and apply the division lemma to get
499 = 26 x 19 + 5
We consider the new divisor 26 and the new remainder 5,and apply the division lemma to get
26 = 5 x 5 + 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 5671 and 7220 is 1
Notice that 1 = HCF(5,1) = HCF(26,5) = HCF(499,26) = HCF(525,499) = HCF(1024,525) = HCF(1549,1024) = HCF(5671,1549) = HCF(7220,5671) .
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 5671, 7220?
Answer: HCF of 5671, 7220 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5671, 7220 using Euclid's Algorithm?
Answer: For arbitrary numbers 5671, 7220 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.