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 7197, 4549 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7197, 4549 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 7197, 4549 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 7197, 4549 is 1.
HCF(7197, 4549) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7197, 4549 is 1.
Step 1: Since 7197 > 4549, we apply the division lemma to 7197 and 4549, to get
7197 = 4549 x 1 + 2648
Step 2: Since the reminder 4549 ≠ 0, we apply division lemma to 2648 and 4549, to get
4549 = 2648 x 1 + 1901
Step 3: We consider the new divisor 2648 and the new remainder 1901, and apply the division lemma to get
2648 = 1901 x 1 + 747
We consider the new divisor 1901 and the new remainder 747,and apply the division lemma to get
1901 = 747 x 2 + 407
We consider the new divisor 747 and the new remainder 407,and apply the division lemma to get
747 = 407 x 1 + 340
We consider the new divisor 407 and the new remainder 340,and apply the division lemma to get
407 = 340 x 1 + 67
We consider the new divisor 340 and the new remainder 67,and apply the division lemma to get
340 = 67 x 5 + 5
We consider the new divisor 67 and the new remainder 5,and apply the division lemma to get
67 = 5 x 13 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7197 and 4549 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(67,5) = HCF(340,67) = HCF(407,340) = HCF(747,407) = HCF(1901,747) = HCF(2648,1901) = HCF(4549,2648) = HCF(7197,4549) .
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 7197, 4549?
Answer: HCF of 7197, 4549 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7197, 4549 using Euclid's Algorithm?
Answer: For arbitrary numbers 7197, 4549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.