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 8746, 6679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8746, 6679 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 8746, 6679 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 8746, 6679 is 1.
HCF(8746, 6679) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8746, 6679 is 1.
Step 1: Since 8746 > 6679, we apply the division lemma to 8746 and 6679, to get
8746 = 6679 x 1 + 2067
Step 2: Since the reminder 6679 ≠ 0, we apply division lemma to 2067 and 6679, to get
6679 = 2067 x 3 + 478
Step 3: We consider the new divisor 2067 and the new remainder 478, and apply the division lemma to get
2067 = 478 x 4 + 155
We consider the new divisor 478 and the new remainder 155,and apply the division lemma to get
478 = 155 x 3 + 13
We consider the new divisor 155 and the new remainder 13,and apply the division lemma to get
155 = 13 x 11 + 12
We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8746 and 6679 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(155,13) = HCF(478,155) = HCF(2067,478) = HCF(6679,2067) = HCF(8746,6679) .
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 8746, 6679?
Answer: HCF of 8746, 6679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8746, 6679 using Euclid's Algorithm?
Answer: For arbitrary numbers 8746, 6679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.