Highest Common Factor of 6923, 7360 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 6923, 7360 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 6923, 7360 is 23 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 6923, 7360 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 6923, 7360 is 23.
HCF(6923, 7360) = 23
HCF of 6923, 7360 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6923, 7360 is 23.
Highest Common Factor of 6923,7360 is 23
Step 1: Since 7360 > 6923, we apply the division lemma to 7360 and 6923, to get
7360 = 6923 x 1 + 437
Step 2: Since the reminder 6923 ≠ 0, we apply division lemma to 437 and 6923, to get
6923 = 437 x 15 + 368
Step 3: We consider the new divisor 437 and the new remainder 368, and apply the division lemma to get
437 = 368 x 1 + 69
We consider the new divisor 368 and the new remainder 69,and apply the division lemma to get
368 = 69 x 5 + 23
We consider the new divisor 69 and the new remainder 23,and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 6923 and 7360 is 23
Notice that 23 = HCF(69,23) = HCF(368,69) = HCF(437,368) = HCF(6923,437) = HCF(7360,6923) .
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Frequently Asked Questions on HCF of 6923, 7360 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 6923, 7360?
Answer: HCF of 6923, 7360 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6923, 7360 using Euclid's Algorithm?
Answer: For arbitrary numbers 6923, 7360 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.