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 8882, 6475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8882, 6475 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 8882, 6475 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 8882, 6475 is 1.
HCF(8882, 6475) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8882, 6475 is 1.
Step 1: Since 8882 > 6475, we apply the division lemma to 8882 and 6475, to get
8882 = 6475 x 1 + 2407
Step 2: Since the reminder 6475 ≠ 0, we apply division lemma to 2407 and 6475, to get
6475 = 2407 x 2 + 1661
Step 3: We consider the new divisor 2407 and the new remainder 1661, and apply the division lemma to get
2407 = 1661 x 1 + 746
We consider the new divisor 1661 and the new remainder 746,and apply the division lemma to get
1661 = 746 x 2 + 169
We consider the new divisor 746 and the new remainder 169,and apply the division lemma to get
746 = 169 x 4 + 70
We consider the new divisor 169 and the new remainder 70,and apply the division lemma to get
169 = 70 x 2 + 29
We consider the new divisor 70 and the new remainder 29,and apply the division lemma to get
70 = 29 x 2 + 12
We consider the new divisor 29 and the new remainder 12,and apply the division lemma to get
29 = 12 x 2 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8882 and 6475 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(29,12) = HCF(70,29) = HCF(169,70) = HCF(746,169) = HCF(1661,746) = HCF(2407,1661) = HCF(6475,2407) = HCF(8882,6475) .
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 8882, 6475?
Answer: HCF of 8882, 6475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8882, 6475 using Euclid's Algorithm?
Answer: For arbitrary numbers 8882, 6475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.