Highest Common Factor of 4772, 3754 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 4772, 3754 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4772, 3754 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 4772, 3754 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 4772, 3754 is 2.
HCF(4772, 3754) = 2
HCF of 4772, 3754 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4772, 3754 is 2.
Highest Common Factor of 4772,3754 is 2
Step 1: Since 4772 > 3754, we apply the division lemma to 4772 and 3754, to get
4772 = 3754 x 1 + 1018
Step 2: Since the reminder 3754 ≠ 0, we apply division lemma to 1018 and 3754, to get
3754 = 1018 x 3 + 700
Step 3: We consider the new divisor 1018 and the new remainder 700, and apply the division lemma to get
1018 = 700 x 1 + 318
We consider the new divisor 700 and the new remainder 318,and apply the division lemma to get
700 = 318 x 2 + 64
We consider the new divisor 318 and the new remainder 64,and apply the division lemma to get
318 = 64 x 4 + 62
We consider the new divisor 64 and the new remainder 62,and apply the division lemma to get
64 = 62 x 1 + 2
We consider the new divisor 62 and the new remainder 2,and apply the division lemma to get
62 = 2 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4772 and 3754 is 2
Notice that 2 = HCF(62,2) = HCF(64,62) = HCF(318,64) = HCF(700,318) = HCF(1018,700) = HCF(3754,1018) = HCF(4772,3754) .
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Frequently Asked Questions on HCF of 4772, 3754 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 4772, 3754?
Answer: HCF of 4772, 3754 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4772, 3754 using Euclid's Algorithm?
Answer: For arbitrary numbers 4772, 3754 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.