Highest Common Factor of 2912, 6886 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 2912, 6886 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2912, 6886 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 2912, 6886 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 2912, 6886 is 2.
HCF(2912, 6886) = 2
HCF of 2912, 6886 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2912, 6886 is 2.
Highest Common Factor of 2912,6886 is 2
Step 1: Since 6886 > 2912, we apply the division lemma to 6886 and 2912, to get
6886 = 2912 x 2 + 1062
Step 2: Since the reminder 2912 ≠ 0, we apply division lemma to 1062 and 2912, to get
2912 = 1062 x 2 + 788
Step 3: We consider the new divisor 1062 and the new remainder 788, and apply the division lemma to get
1062 = 788 x 1 + 274
We consider the new divisor 788 and the new remainder 274,and apply the division lemma to get
788 = 274 x 2 + 240
We consider the new divisor 274 and the new remainder 240,and apply the division lemma to get
274 = 240 x 1 + 34
We consider the new divisor 240 and the new remainder 34,and apply the division lemma to get
240 = 34 x 7 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2912 and 6886 is 2
Notice that 2 = HCF(34,2) = HCF(240,34) = HCF(274,240) = HCF(788,274) = HCF(1062,788) = HCF(2912,1062) = HCF(6886,2912) .
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Frequently Asked Questions on HCF of 2912, 6886 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 2912, 6886?
Answer: HCF of 2912, 6886 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2912, 6886 using Euclid's Algorithm?
Answer: For arbitrary numbers 2912, 6886 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.