Highest Common Factor of 4829, 5191 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 4829, 5191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4829, 5191 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 4829, 5191 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 4829, 5191 is 1.
HCF(4829, 5191) = 1
HCF of 4829, 5191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4829, 5191 is 1.
Highest Common Factor of 4829,5191 is 1
Step 1: Since 5191 > 4829, we apply the division lemma to 5191 and 4829, to get
5191 = 4829 x 1 + 362
Step 2: Since the reminder 4829 ≠ 0, we apply division lemma to 362 and 4829, to get
4829 = 362 x 13 + 123
Step 3: We consider the new divisor 362 and the new remainder 123, and apply the division lemma to get
362 = 123 x 2 + 116
We consider the new divisor 123 and the new remainder 116,and apply the division lemma to get
123 = 116 x 1 + 7
We consider the new divisor 116 and the new remainder 7,and apply the division lemma to get
116 = 7 x 16 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4829 and 5191 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(116,7) = HCF(123,116) = HCF(362,123) = HCF(4829,362) = HCF(5191,4829) .
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Frequently Asked Questions on HCF of 4829, 5191 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 4829, 5191?
Answer: HCF of 4829, 5191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4829, 5191 using Euclid's Algorithm?
Answer: For arbitrary numbers 4829, 5191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.