Highest Common Factor of 8133, 6910 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 8133, 6910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8133, 6910 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 8133, 6910 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 8133, 6910 is 1.
HCF(8133, 6910) = 1
HCF of 8133, 6910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8133, 6910 is 1.
Highest Common Factor of 8133,6910 is 1
Step 1: Since 8133 > 6910, we apply the division lemma to 8133 and 6910, to get
8133 = 6910 x 1 + 1223
Step 2: Since the reminder 6910 ≠ 0, we apply division lemma to 1223 and 6910, to get
6910 = 1223 x 5 + 795
Step 3: We consider the new divisor 1223 and the new remainder 795, and apply the division lemma to get
1223 = 795 x 1 + 428
We consider the new divisor 795 and the new remainder 428,and apply the division lemma to get
795 = 428 x 1 + 367
We consider the new divisor 428 and the new remainder 367,and apply the division lemma to get
428 = 367 x 1 + 61
We consider the new divisor 367 and the new remainder 61,and apply the division lemma to get
367 = 61 x 6 + 1
We consider the new divisor 61 and the new remainder 1,and apply the division lemma to get
61 = 1 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8133 and 6910 is 1
Notice that 1 = HCF(61,1) = HCF(367,61) = HCF(428,367) = HCF(795,428) = HCF(1223,795) = HCF(6910,1223) = HCF(8133,6910) .
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Frequently Asked Questions on HCF of 8133, 6910 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 8133, 6910?
Answer: HCF of 8133, 6910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8133, 6910 using Euclid's Algorithm?
Answer: For arbitrary numbers 8133, 6910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
