Highest Common Factor of 4738, 4187 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 4738, 4187 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4738, 4187 is 1 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 4738, 4187 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 4738, 4187 is 1.
HCF(4738, 4187) = 1
HCF of 4738, 4187 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4738, 4187 is 1.
Highest Common Factor of 4738,4187 is 1
Step 1: Since 4738 > 4187, we apply the division lemma to 4738 and 4187, to get
4738 = 4187 x 1 + 551
Step 2: Since the reminder 4187 ≠ 0, we apply division lemma to 551 and 4187, to get
4187 = 551 x 7 + 330
Step 3: We consider the new divisor 551 and the new remainder 330, and apply the division lemma to get
551 = 330 x 1 + 221
We consider the new divisor 330 and the new remainder 221,and apply the division lemma to get
330 = 221 x 1 + 109
We consider the new divisor 221 and the new remainder 109,and apply the division lemma to get
221 = 109 x 2 + 3
We consider the new divisor 109 and the new remainder 3,and apply the division lemma to get
109 = 3 x 36 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4738 and 4187 is 1
Notice that 1 = HCF(3,1) = HCF(109,3) = HCF(221,109) = HCF(330,221) = HCF(551,330) = HCF(4187,551) = HCF(4738,4187) .
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Frequently Asked Questions on HCF of 4738, 4187 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 4738, 4187?
Answer: HCF of 4738, 4187 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4738, 4187 using Euclid's Algorithm?
Answer: For arbitrary numbers 4738, 4187 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.