Highest Common Factor of 8395, 4995 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 8395, 4995 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 8395, 4995 is 5 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 8395, 4995 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 8395, 4995 is 5.
HCF(8395, 4995) = 5
HCF of 8395, 4995 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8395, 4995 is 5.
Highest Common Factor of 8395,4995 is 5
Step 1: Since 8395 > 4995, we apply the division lemma to 8395 and 4995, to get
8395 = 4995 x 1 + 3400
Step 2: Since the reminder 4995 ≠ 0, we apply division lemma to 3400 and 4995, to get
4995 = 3400 x 1 + 1595
Step 3: We consider the new divisor 3400 and the new remainder 1595, and apply the division lemma to get
3400 = 1595 x 2 + 210
We consider the new divisor 1595 and the new remainder 210,and apply the division lemma to get
1595 = 210 x 7 + 125
We consider the new divisor 210 and the new remainder 125,and apply the division lemma to get
210 = 125 x 1 + 85
We consider the new divisor 125 and the new remainder 85,and apply the division lemma to get
125 = 85 x 1 + 40
We consider the new divisor 85 and the new remainder 40,and apply the division lemma to get
85 = 40 x 2 + 5
We consider the new divisor 40 and the new remainder 5,and apply the division lemma to get
40 = 5 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8395 and 4995 is 5
Notice that 5 = HCF(40,5) = HCF(85,40) = HCF(125,85) = HCF(210,125) = HCF(1595,210) = HCF(3400,1595) = HCF(4995,3400) = HCF(8395,4995) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8395, 4995 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 8395, 4995?
Answer: HCF of 8395, 4995 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8395, 4995 using Euclid's Algorithm?
Answer: For arbitrary numbers 8395, 4995 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
