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 5597, 8494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5597, 8494 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 5597, 8494 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 5597, 8494 is 1.
HCF(5597, 8494) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5597, 8494 is 1.
Step 1: Since 8494 > 5597, we apply the division lemma to 8494 and 5597, to get
8494 = 5597 x 1 + 2897
Step 2: Since the reminder 5597 ≠ 0, we apply division lemma to 2897 and 5597, to get
5597 = 2897 x 1 + 2700
Step 3: We consider the new divisor 2897 and the new remainder 2700, and apply the division lemma to get
2897 = 2700 x 1 + 197
We consider the new divisor 2700 and the new remainder 197,and apply the division lemma to get
2700 = 197 x 13 + 139
We consider the new divisor 197 and the new remainder 139,and apply the division lemma to get
197 = 139 x 1 + 58
We consider the new divisor 139 and the new remainder 58,and apply the division lemma to get
139 = 58 x 2 + 23
We consider the new divisor 58 and the new remainder 23,and apply the division lemma to get
58 = 23 x 2 + 12
We consider the new divisor 23 and the new remainder 12,and apply the division lemma to get
23 = 12 x 1 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5597 and 8494 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(23,12) = HCF(58,23) = HCF(139,58) = HCF(197,139) = HCF(2700,197) = HCF(2897,2700) = HCF(5597,2897) = HCF(8494,5597) .
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 5597, 8494?
Answer: HCF of 5597, 8494 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5597, 8494 using Euclid's Algorithm?
Answer: For arbitrary numbers 5597, 8494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.