Highest Common Factor of 2742, 860 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 2742, 860 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2742, 860 is 2 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 2742, 860 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 2742, 860 is 2.
HCF(2742, 860) = 2
HCF of 2742, 860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2742, 860 is 2.
Highest Common Factor of 2742,860 is 2
Step 1: Since 2742 > 860, we apply the division lemma to 2742 and 860, to get
2742 = 860 x 3 + 162
Step 2: Since the reminder 860 ≠ 0, we apply division lemma to 162 and 860, to get
860 = 162 x 5 + 50
Step 3: We consider the new divisor 162 and the new remainder 50, and apply the division lemma to get
162 = 50 x 3 + 12
We consider the new divisor 50 and the new remainder 12,and apply the division lemma to get
50 = 12 x 4 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2742 and 860 is 2
Notice that 2 = HCF(12,2) = HCF(50,12) = HCF(162,50) = HCF(860,162) = HCF(2742,860) .
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Frequently Asked Questions on HCF of 2742, 860 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 2742, 860?
Answer: HCF of 2742, 860 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2742, 860 using Euclid's Algorithm?
Answer: For arbitrary numbers 2742, 860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.