Highest Common Factor of 2714, 1012 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 2714, 1012 i.e. 46 the largest integer that leaves a remainder zero for all numbers.
HCF of 2714, 1012 is 46 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 2714, 1012 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 2714, 1012 is 46.
HCF(2714, 1012) = 46
HCF of 2714, 1012 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2714, 1012 is 46.
Highest Common Factor of 2714,1012 is 46
Step 1: Since 2714 > 1012, we apply the division lemma to 2714 and 1012, to get
2714 = 1012 x 2 + 690
Step 2: Since the reminder 1012 ≠ 0, we apply division lemma to 690 and 1012, to get
1012 = 690 x 1 + 322
Step 3: We consider the new divisor 690 and the new remainder 322, and apply the division lemma to get
690 = 322 x 2 + 46
We consider the new divisor 322 and the new remainder 46, and apply the division lemma to get
322 = 46 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 2714 and 1012 is 46
Notice that 46 = HCF(322,46) = HCF(690,322) = HCF(1012,690) = HCF(2714,1012) .
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Frequently Asked Questions on HCF of 2714, 1012 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 2714, 1012?
Answer: HCF of 2714, 1012 is 46 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2714, 1012 using Euclid's Algorithm?
Answer: For arbitrary numbers 2714, 1012 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.