Highest Common Factor of 5395, 8492 using Euclid's algorithm
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 5395, 8492 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5395, 8492 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 5395, 8492 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 5395, 8492 is 1.
HCF(5395, 8492) = 1
HCF of 5395, 8492 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5395, 8492 is 1.
Highest Common Factor of 5395,8492 is 1
Step 1: Since 8492 > 5395, we apply the division lemma to 8492 and 5395, to get
8492 = 5395 x 1 + 3097
Step 2: Since the reminder 5395 ≠ 0, we apply division lemma to 3097 and 5395, to get
5395 = 3097 x 1 + 2298
Step 3: We consider the new divisor 3097 and the new remainder 2298, and apply the division lemma to get
3097 = 2298 x 1 + 799
We consider the new divisor 2298 and the new remainder 799,and apply the division lemma to get
2298 = 799 x 2 + 700
We consider the new divisor 799 and the new remainder 700,and apply the division lemma to get
799 = 700 x 1 + 99
We consider the new divisor 700 and the new remainder 99,and apply the division lemma to get
700 = 99 x 7 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5395 and 8492 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(700,99) = HCF(799,700) = HCF(2298,799) = HCF(3097,2298) = HCF(5395,3097) = HCF(8492,5395) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5395, 8492 using Euclid's Algorithm
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 5395, 8492?
Answer: HCF of 5395, 8492 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5395, 8492 using Euclid's Algorithm?
Answer: For arbitrary numbers 5395, 8492 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.