Highest Common Factor of 2667, 7983 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 2667, 7983 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2667, 7983 is 3 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 2667, 7983 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 2667, 7983 is 3.
HCF(2667, 7983) = 3
HCF of 2667, 7983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2667, 7983 is 3.
Highest Common Factor of 2667,7983 is 3
Step 1: Since 7983 > 2667, we apply the division lemma to 7983 and 2667, to get
7983 = 2667 x 2 + 2649
Step 2: Since the reminder 2667 ≠ 0, we apply division lemma to 2649 and 2667, to get
2667 = 2649 x 1 + 18
Step 3: We consider the new divisor 2649 and the new remainder 18, and apply the division lemma to get
2649 = 18 x 147 + 3
We consider the new divisor 18 and the new remainder 3, and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2667 and 7983 is 3
Notice that 3 = HCF(18,3) = HCF(2649,18) = HCF(2667,2649) = HCF(7983,2667) .
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Frequently Asked Questions on HCF of 2667, 7983 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 2667, 7983?
Answer: HCF of 2667, 7983 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2667, 7983 using Euclid's Algorithm?
Answer: For arbitrary numbers 2667, 7983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.