Highest Common Factor of 8342, 6936 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 8342, 6936 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8342, 6936 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 8342, 6936 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 8342, 6936 is 2.
HCF(8342, 6936) = 2
HCF of 8342, 6936 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8342, 6936 is 2.
Highest Common Factor of 8342,6936 is 2
Step 1: Since 8342 > 6936, we apply the division lemma to 8342 and 6936, to get
8342 = 6936 x 1 + 1406
Step 2: Since the reminder 6936 ≠ 0, we apply division lemma to 1406 and 6936, to get
6936 = 1406 x 4 + 1312
Step 3: We consider the new divisor 1406 and the new remainder 1312, and apply the division lemma to get
1406 = 1312 x 1 + 94
We consider the new divisor 1312 and the new remainder 94,and apply the division lemma to get
1312 = 94 x 13 + 90
We consider the new divisor 94 and the new remainder 90,and apply the division lemma to get
94 = 90 x 1 + 4
We consider the new divisor 90 and the new remainder 4,and apply the division lemma to get
90 = 4 x 22 + 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 8342 and 6936 is 2
Notice that 2 = HCF(4,2) = HCF(90,4) = HCF(94,90) = HCF(1312,94) = HCF(1406,1312) = HCF(6936,1406) = HCF(8342,6936) .
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Frequently Asked Questions on HCF of 8342, 6936 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 8342, 6936?
Answer: HCF of 8342, 6936 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8342, 6936 using Euclid's Algorithm?
Answer: For arbitrary numbers 8342, 6936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.