Highest Common Factor of 8428, 6789 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 8428, 6789 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8428, 6789 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 8428, 6789 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 8428, 6789 is 1.
HCF(8428, 6789) = 1
HCF of 8428, 6789 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8428, 6789 is 1.
Highest Common Factor of 8428,6789 is 1
Step 1: Since 8428 > 6789, we apply the division lemma to 8428 and 6789, to get
8428 = 6789 x 1 + 1639
Step 2: Since the reminder 6789 ≠ 0, we apply division lemma to 1639 and 6789, to get
6789 = 1639 x 4 + 233
Step 3: We consider the new divisor 1639 and the new remainder 233, and apply the division lemma to get
1639 = 233 x 7 + 8
We consider the new divisor 233 and the new remainder 8,and apply the division lemma to get
233 = 8 x 29 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8428 and 6789 is 1
Notice that 1 = HCF(8,1) = HCF(233,8) = HCF(1639,233) = HCF(6789,1639) = HCF(8428,6789) .
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Frequently Asked Questions on HCF of 8428, 6789 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 8428, 6789?
Answer: HCF of 8428, 6789 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8428, 6789 using Euclid's Algorithm?
Answer: For arbitrary numbers 8428, 6789 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.