Highest Common Factor of 4634, 3780 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 4634, 3780 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 4634, 3780 is 14 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 4634, 3780 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 4634, 3780 is 14.
HCF(4634, 3780) = 14
HCF of 4634, 3780 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4634, 3780 is 14.
Highest Common Factor of 4634,3780 is 14
Step 1: Since 4634 > 3780, we apply the division lemma to 4634 and 3780, to get
4634 = 3780 x 1 + 854
Step 2: Since the reminder 3780 ≠ 0, we apply division lemma to 854 and 3780, to get
3780 = 854 x 4 + 364
Step 3: We consider the new divisor 854 and the new remainder 364, and apply the division lemma to get
854 = 364 x 2 + 126
We consider the new divisor 364 and the new remainder 126,and apply the division lemma to get
364 = 126 x 2 + 112
We consider the new divisor 126 and the new remainder 112,and apply the division lemma to get
126 = 112 x 1 + 14
We consider the new divisor 112 and the new remainder 14,and apply the division lemma to get
112 = 14 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 4634 and 3780 is 14
Notice that 14 = HCF(112,14) = HCF(126,112) = HCF(364,126) = HCF(854,364) = HCF(3780,854) = HCF(4634,3780) .
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Frequently Asked Questions on HCF of 4634, 3780 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 4634, 3780?
Answer: HCF of 4634, 3780 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4634, 3780 using Euclid's Algorithm?
Answer: For arbitrary numbers 4634, 3780 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.