Highest Common Factor of 2668, 7105 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 2668, 7105 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 2668, 7105 is 29 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 2668, 7105 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 2668, 7105 is 29.
HCF(2668, 7105) = 29
HCF of 2668, 7105 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2668, 7105 is 29.
Highest Common Factor of 2668,7105 is 29
Step 1: Since 7105 > 2668, we apply the division lemma to 7105 and 2668, to get
7105 = 2668 x 2 + 1769
Step 2: Since the reminder 2668 ≠ 0, we apply division lemma to 1769 and 2668, to get
2668 = 1769 x 1 + 899
Step 3: We consider the new divisor 1769 and the new remainder 899, and apply the division lemma to get
1769 = 899 x 1 + 870
We consider the new divisor 899 and the new remainder 870,and apply the division lemma to get
899 = 870 x 1 + 29
We consider the new divisor 870 and the new remainder 29,and apply the division lemma to get
870 = 29 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 2668 and 7105 is 29
Notice that 29 = HCF(870,29) = HCF(899,870) = HCF(1769,899) = HCF(2668,1769) = HCF(7105,2668) .
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Frequently Asked Questions on HCF of 2668, 7105 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 2668, 7105?
Answer: HCF of 2668, 7105 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2668, 7105 using Euclid's Algorithm?
Answer: For arbitrary numbers 2668, 7105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.