Highest Common Factor of 8344, 1324 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 8344, 1324 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8344, 1324 is 4 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 8344, 1324 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 8344, 1324 is 4.
HCF(8344, 1324) = 4
HCF of 8344, 1324 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8344, 1324 is 4.
Highest Common Factor of 8344,1324 is 4
Step 1: Since 8344 > 1324, we apply the division lemma to 8344 and 1324, to get
8344 = 1324 x 6 + 400
Step 2: Since the reminder 1324 ≠ 0, we apply division lemma to 400 and 1324, to get
1324 = 400 x 3 + 124
Step 3: We consider the new divisor 400 and the new remainder 124, and apply the division lemma to get
400 = 124 x 3 + 28
We consider the new divisor 124 and the new remainder 28,and apply the division lemma to get
124 = 28 x 4 + 12
We consider the new divisor 28 and the new remainder 12,and apply the division lemma to get
28 = 12 x 2 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8344 and 1324 is 4
Notice that 4 = HCF(12,4) = HCF(28,12) = HCF(124,28) = HCF(400,124) = HCF(1324,400) = HCF(8344,1324) .
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Frequently Asked Questions on HCF of 8344, 1324 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 8344, 1324?
Answer: HCF of 8344, 1324 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8344, 1324 using Euclid's Algorithm?
Answer: For arbitrary numbers 8344, 1324 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.