Highest Common Factor of 836, 1114 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 836, 1114 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 1114 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 836, 1114 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 836, 1114 is 2.
HCF(836, 1114) = 2
HCF of 836, 1114 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 1114 is 2.
Highest Common Factor of 836,1114 is 2
Step 1: Since 1114 > 836, we apply the division lemma to 1114 and 836, to get
1114 = 836 x 1 + 278
Step 2: Since the reminder 836 ≠ 0, we apply division lemma to 278 and 836, to get
836 = 278 x 3 + 2
Step 3: We consider the new divisor 278 and the new remainder 2, and apply the division lemma to get
278 = 2 x 139 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 836 and 1114 is 2
Notice that 2 = HCF(278,2) = HCF(836,278) = HCF(1114,836) .
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Frequently Asked Questions on HCF of 836, 1114 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 836, 1114?
Answer: HCF of 836, 1114 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 1114 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 1114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.