Highest Common Factor of 1826, 4298 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 1826, 4298 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1826, 4298 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 1826, 4298 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 1826, 4298 is 2.
HCF(1826, 4298) = 2
HCF of 1826, 4298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1826, 4298 is 2.
Highest Common Factor of 1826,4298 is 2
Step 1: Since 4298 > 1826, we apply the division lemma to 4298 and 1826, to get
4298 = 1826 x 2 + 646
Step 2: Since the reminder 1826 ≠ 0, we apply division lemma to 646 and 1826, to get
1826 = 646 x 2 + 534
Step 3: We consider the new divisor 646 and the new remainder 534, and apply the division lemma to get
646 = 534 x 1 + 112
We consider the new divisor 534 and the new remainder 112,and apply the division lemma to get
534 = 112 x 4 + 86
We consider the new divisor 112 and the new remainder 86,and apply the division lemma to get
112 = 86 x 1 + 26
We consider the new divisor 86 and the new remainder 26,and apply the division lemma to get
86 = 26 x 3 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1826 and 4298 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(86,26) = HCF(112,86) = HCF(534,112) = HCF(646,534) = HCF(1826,646) = HCF(4298,1826) .
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Frequently Asked Questions on HCF of 1826, 4298 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 1826, 4298?
Answer: HCF of 1826, 4298 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1826, 4298 using Euclid's Algorithm?
Answer: For arbitrary numbers 1826, 4298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.