Highest Common Factor of 4865, 8196 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 4865, 8196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4865, 8196 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 4865, 8196 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 4865, 8196 is 1.
HCF(4865, 8196) = 1
HCF of 4865, 8196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4865, 8196 is 1.
Highest Common Factor of 4865,8196 is 1
Step 1: Since 8196 > 4865, we apply the division lemma to 8196 and 4865, to get
8196 = 4865 x 1 + 3331
Step 2: Since the reminder 4865 ≠ 0, we apply division lemma to 3331 and 4865, to get
4865 = 3331 x 1 + 1534
Step 3: We consider the new divisor 3331 and the new remainder 1534, and apply the division lemma to get
3331 = 1534 x 2 + 263
We consider the new divisor 1534 and the new remainder 263,and apply the division lemma to get
1534 = 263 x 5 + 219
We consider the new divisor 263 and the new remainder 219,and apply the division lemma to get
263 = 219 x 1 + 44
We consider the new divisor 219 and the new remainder 44,and apply the division lemma to get
219 = 44 x 4 + 43
We consider the new divisor 44 and the new remainder 43,and apply the division lemma to get
44 = 43 x 1 + 1
We consider the new divisor 43 and the new remainder 1,and apply the division lemma to get
43 = 1 x 43 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4865 and 8196 is 1
Notice that 1 = HCF(43,1) = HCF(44,43) = HCF(219,44) = HCF(263,219) = HCF(1534,263) = HCF(3331,1534) = HCF(4865,3331) = HCF(8196,4865) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4865, 8196 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 4865, 8196?
Answer: HCF of 4865, 8196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4865, 8196 using Euclid's Algorithm?
Answer: For arbitrary numbers 4865, 8196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.