Highest Common Factor of 2691, 7829 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 2691, 7829 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2691, 7829 is 1 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 2691, 7829 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 2691, 7829 is 1.
HCF(2691, 7829) = 1
HCF of 2691, 7829 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2691, 7829 is 1.
Highest Common Factor of 2691,7829 is 1
Step 1: Since 7829 > 2691, we apply the division lemma to 7829 and 2691, to get
7829 = 2691 x 2 + 2447
Step 2: Since the reminder 2691 ≠ 0, we apply division lemma to 2447 and 2691, to get
2691 = 2447 x 1 + 244
Step 3: We consider the new divisor 2447 and the new remainder 244, and apply the division lemma to get
2447 = 244 x 10 + 7
We consider the new divisor 244 and the new remainder 7,and apply the division lemma to get
244 = 7 x 34 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2691 and 7829 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(244,7) = HCF(2447,244) = HCF(2691,2447) = HCF(7829,2691) .
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Frequently Asked Questions on HCF of 2691, 7829 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 2691, 7829?
Answer: HCF of 2691, 7829 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2691, 7829 using Euclid's Algorithm?
Answer: For arbitrary numbers 2691, 7829 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.