Highest Common Factor of 2890, 4774 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 2890, 4774 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2890, 4774 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 2890, 4774 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 2890, 4774 is 2.
HCF(2890, 4774) = 2
HCF of 2890, 4774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2890, 4774 is 2.
Highest Common Factor of 2890,4774 is 2
Step 1: Since 4774 > 2890, we apply the division lemma to 4774 and 2890, to get
4774 = 2890 x 1 + 1884
Step 2: Since the reminder 2890 ≠ 0, we apply division lemma to 1884 and 2890, to get
2890 = 1884 x 1 + 1006
Step 3: We consider the new divisor 1884 and the new remainder 1006, and apply the division lemma to get
1884 = 1006 x 1 + 878
We consider the new divisor 1006 and the new remainder 878,and apply the division lemma to get
1006 = 878 x 1 + 128
We consider the new divisor 878 and the new remainder 128,and apply the division lemma to get
878 = 128 x 6 + 110
We consider the new divisor 128 and the new remainder 110,and apply the division lemma to get
128 = 110 x 1 + 18
We consider the new divisor 110 and the new remainder 18,and apply the division lemma to get
110 = 18 x 6 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2890 and 4774 is 2
Notice that 2 = HCF(18,2) = HCF(110,18) = HCF(128,110) = HCF(878,128) = HCF(1006,878) = HCF(1884,1006) = HCF(2890,1884) = HCF(4774,2890) .
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Frequently Asked Questions on HCF of 2890, 4774 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 2890, 4774?
Answer: HCF of 2890, 4774 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2890, 4774 using Euclid's Algorithm?
Answer: For arbitrary numbers 2890, 4774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.