Highest Common Factor of 8248, 4658 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 8248, 4658 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8248, 4658 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 8248, 4658 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 8248, 4658 is 2.
HCF(8248, 4658) = 2
HCF of 8248, 4658 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8248, 4658 is 2.
Highest Common Factor of 8248,4658 is 2
Step 1: Since 8248 > 4658, we apply the division lemma to 8248 and 4658, to get
8248 = 4658 x 1 + 3590
Step 2: Since the reminder 4658 ≠ 0, we apply division lemma to 3590 and 4658, to get
4658 = 3590 x 1 + 1068
Step 3: We consider the new divisor 3590 and the new remainder 1068, and apply the division lemma to get
3590 = 1068 x 3 + 386
We consider the new divisor 1068 and the new remainder 386,and apply the division lemma to get
1068 = 386 x 2 + 296
We consider the new divisor 386 and the new remainder 296,and apply the division lemma to get
386 = 296 x 1 + 90
We consider the new divisor 296 and the new remainder 90,and apply the division lemma to get
296 = 90 x 3 + 26
We consider the new divisor 90 and the new remainder 26,and apply the division lemma to get
90 = 26 x 3 + 12
We consider the new divisor 26 and the new remainder 12,and apply the division lemma to get
26 = 12 x 2 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8248 and 4658 is 2
Notice that 2 = HCF(12,2) = HCF(26,12) = HCF(90,26) = HCF(296,90) = HCF(386,296) = HCF(1068,386) = HCF(3590,1068) = HCF(4658,3590) = HCF(8248,4658) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8248, 4658 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 8248, 4658?
Answer: HCF of 8248, 4658 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8248, 4658 using Euclid's Algorithm?
Answer: For arbitrary numbers 8248, 4658 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.