Highest Common Factor of 344, 7836 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 344, 7836 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 344, 7836 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 344, 7836 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 344, 7836 is 4.
HCF(344, 7836) = 4
HCF of 344, 7836 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 344, 7836 is 4.
Highest Common Factor of 344,7836 is 4
Step 1: Since 7836 > 344, we apply the division lemma to 7836 and 344, to get
7836 = 344 x 22 + 268
Step 2: Since the reminder 344 ≠ 0, we apply division lemma to 268 and 344, to get
344 = 268 x 1 + 76
Step 3: We consider the new divisor 268 and the new remainder 76, and apply the division lemma to get
268 = 76 x 3 + 40
We consider the new divisor 76 and the new remainder 40,and apply the division lemma to get
76 = 40 x 1 + 36
We consider the new divisor 40 and the new remainder 36,and apply the division lemma to get
40 = 36 x 1 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 344 and 7836 is 4
Notice that 4 = HCF(36,4) = HCF(40,36) = HCF(76,40) = HCF(268,76) = HCF(344,268) = HCF(7836,344) .
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Frequently Asked Questions on HCF of 344, 7836 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 344, 7836?
Answer: HCF of 344, 7836 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 344, 7836 using Euclid's Algorithm?
Answer: For arbitrary numbers 344, 7836 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.