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 8242, 5660 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8242, 5660 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 8242, 5660 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 8242, 5660 is 2.
HCF(8242, 5660) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8242, 5660 is 2.
Step 1: Since 8242 > 5660, we apply the division lemma to 8242 and 5660, to get
8242 = 5660 x 1 + 2582
Step 2: Since the reminder 5660 ≠ 0, we apply division lemma to 2582 and 5660, to get
5660 = 2582 x 2 + 496
Step 3: We consider the new divisor 2582 and the new remainder 496, and apply the division lemma to get
2582 = 496 x 5 + 102
We consider the new divisor 496 and the new remainder 102,and apply the division lemma to get
496 = 102 x 4 + 88
We consider the new divisor 102 and the new remainder 88,and apply the division lemma to get
102 = 88 x 1 + 14
We consider the new divisor 88 and the new remainder 14,and apply the division lemma to get
88 = 14 x 6 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8242 and 5660 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(88,14) = HCF(102,88) = HCF(496,102) = HCF(2582,496) = HCF(5660,2582) = HCF(8242,5660) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8242, 5660?
Answer: HCF of 8242, 5660 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8242, 5660 using Euclid's Algorithm?
Answer: For arbitrary numbers 8242, 5660 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.