Highest Common Factor of 2878, 6906 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 2878, 6906 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2878, 6906 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 2878, 6906 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 2878, 6906 is 2.
HCF(2878, 6906) = 2
HCF of 2878, 6906 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2878, 6906 is 2.
Highest Common Factor of 2878,6906 is 2
Step 1: Since 6906 > 2878, we apply the division lemma to 6906 and 2878, to get
6906 = 2878 x 2 + 1150
Step 2: Since the reminder 2878 ≠ 0, we apply division lemma to 1150 and 2878, to get
2878 = 1150 x 2 + 578
Step 3: We consider the new divisor 1150 and the new remainder 578, and apply the division lemma to get
1150 = 578 x 1 + 572
We consider the new divisor 578 and the new remainder 572,and apply the division lemma to get
578 = 572 x 1 + 6
We consider the new divisor 572 and the new remainder 6,and apply the division lemma to get
572 = 6 x 95 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2878 and 6906 is 2
Notice that 2 = HCF(6,2) = HCF(572,6) = HCF(578,572) = HCF(1150,578) = HCF(2878,1150) = HCF(6906,2878) .
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Frequently Asked Questions on HCF of 2878, 6906 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 2878, 6906?
Answer: HCF of 2878, 6906 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2878, 6906 using Euclid's Algorithm?
Answer: For arbitrary numbers 2878, 6906 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.