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 4574, 2826 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4574, 2826 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 4574, 2826 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 4574, 2826 is 2.
HCF(4574, 2826) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4574, 2826 is 2.
Step 1: Since 4574 > 2826, we apply the division lemma to 4574 and 2826, to get
4574 = 2826 x 1 + 1748
Step 2: Since the reminder 2826 ≠ 0, we apply division lemma to 1748 and 2826, to get
2826 = 1748 x 1 + 1078
Step 3: We consider the new divisor 1748 and the new remainder 1078, and apply the division lemma to get
1748 = 1078 x 1 + 670
We consider the new divisor 1078 and the new remainder 670,and apply the division lemma to get
1078 = 670 x 1 + 408
We consider the new divisor 670 and the new remainder 408,and apply the division lemma to get
670 = 408 x 1 + 262
We consider the new divisor 408 and the new remainder 262,and apply the division lemma to get
408 = 262 x 1 + 146
We consider the new divisor 262 and the new remainder 146,and apply the division lemma to get
262 = 146 x 1 + 116
We consider the new divisor 146 and the new remainder 116,and apply the division lemma to get
146 = 116 x 1 + 30
We consider the new divisor 116 and the new remainder 30,and apply the division lemma to get
116 = 30 x 3 + 26
We consider the new divisor 30 and the new remainder 26,and apply the division lemma to get
30 = 26 x 1 + 4
We consider the new divisor 26 and the new remainder 4,and apply the division lemma to get
26 = 4 x 6 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4574 and 2826 is 2
Notice that 2 = HCF(4,2) = HCF(26,4) = HCF(30,26) = HCF(116,30) = HCF(146,116) = HCF(262,146) = HCF(408,262) = HCF(670,408) = HCF(1078,670) = HCF(1748,1078) = HCF(2826,1748) = HCF(4574,2826) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4574, 2826?
Answer: HCF of 4574, 2826 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4574, 2826 using Euclid's Algorithm?
Answer: For arbitrary numbers 4574, 2826 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.