Highest Common Factor of 4684, 1902 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 4684, 1902 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4684, 1902 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 4684, 1902 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 4684, 1902 is 2.
HCF(4684, 1902) = 2
HCF of 4684, 1902 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4684, 1902 is 2.
Highest Common Factor of 4684,1902 is 2
Step 1: Since 4684 > 1902, we apply the division lemma to 4684 and 1902, to get
4684 = 1902 x 2 + 880
Step 2: Since the reminder 1902 ≠ 0, we apply division lemma to 880 and 1902, to get
1902 = 880 x 2 + 142
Step 3: We consider the new divisor 880 and the new remainder 142, and apply the division lemma to get
880 = 142 x 6 + 28
We consider the new divisor 142 and the new remainder 28,and apply the division lemma to get
142 = 28 x 5 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4684 and 1902 is 2
Notice that 2 = HCF(28,2) = HCF(142,28) = HCF(880,142) = HCF(1902,880) = HCF(4684,1902) .
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Frequently Asked Questions on HCF of 4684, 1902 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 4684, 1902?
Answer: HCF of 4684, 1902 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4684, 1902 using Euclid's Algorithm?
Answer: For arbitrary numbers 4684, 1902 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
