Highest Common Factor of 5852, 4198 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 5852, 4198 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5852, 4198 is 2 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 5852, 4198 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 5852, 4198 is 2.
HCF(5852, 4198) = 2
HCF of 5852, 4198 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5852, 4198 is 2.
Highest Common Factor of 5852,4198 is 2
Step 1: Since 5852 > 4198, we apply the division lemma to 5852 and 4198, to get
5852 = 4198 x 1 + 1654
Step 2: Since the reminder 4198 ≠ 0, we apply division lemma to 1654 and 4198, to get
4198 = 1654 x 2 + 890
Step 3: We consider the new divisor 1654 and the new remainder 890, and apply the division lemma to get
1654 = 890 x 1 + 764
We consider the new divisor 890 and the new remainder 764,and apply the division lemma to get
890 = 764 x 1 + 126
We consider the new divisor 764 and the new remainder 126,and apply the division lemma to get
764 = 126 x 6 + 8
We consider the new divisor 126 and the new remainder 8,and apply the division lemma to get
126 = 8 x 15 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5852 and 4198 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(126,8) = HCF(764,126) = HCF(890,764) = HCF(1654,890) = HCF(4198,1654) = HCF(5852,4198) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5852, 4198 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 5852, 4198?
Answer: HCF of 5852, 4198 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5852, 4198 using Euclid's Algorithm?
Answer: For arbitrary numbers 5852, 4198 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.