Highest Common Factor of 3797, 4799 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 3797, 4799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3797, 4799 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 3797, 4799 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 3797, 4799 is 1.
HCF(3797, 4799) = 1
HCF of 3797, 4799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3797, 4799 is 1.
Highest Common Factor of 3797,4799 is 1
Step 1: Since 4799 > 3797, we apply the division lemma to 4799 and 3797, to get
4799 = 3797 x 1 + 1002
Step 2: Since the reminder 3797 ≠ 0, we apply division lemma to 1002 and 3797, to get
3797 = 1002 x 3 + 791
Step 3: We consider the new divisor 1002 and the new remainder 791, and apply the division lemma to get
1002 = 791 x 1 + 211
We consider the new divisor 791 and the new remainder 211,and apply the division lemma to get
791 = 211 x 3 + 158
We consider the new divisor 211 and the new remainder 158,and apply the division lemma to get
211 = 158 x 1 + 53
We consider the new divisor 158 and the new remainder 53,and apply the division lemma to get
158 = 53 x 2 + 52
We consider the new divisor 53 and the new remainder 52,and apply the division lemma to get
53 = 52 x 1 + 1
We consider the new divisor 52 and the new remainder 1,and apply the division lemma to get
52 = 1 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3797 and 4799 is 1
Notice that 1 = HCF(52,1) = HCF(53,52) = HCF(158,53) = HCF(211,158) = HCF(791,211) = HCF(1002,791) = HCF(3797,1002) = HCF(4799,3797) .
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Frequently Asked Questions on HCF of 3797, 4799 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 3797, 4799?
Answer: HCF of 3797, 4799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3797, 4799 using Euclid's Algorithm?
Answer: For arbitrary numbers 3797, 4799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.