Highest Common Factor of 5251, 4797 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 5251, 4797 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5251, 4797 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 5251, 4797 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 5251, 4797 is 1.
HCF(5251, 4797) = 1
HCF of 5251, 4797 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5251, 4797 is 1.
Highest Common Factor of 5251,4797 is 1
Step 1: Since 5251 > 4797, we apply the division lemma to 5251 and 4797, to get
5251 = 4797 x 1 + 454
Step 2: Since the reminder 4797 ≠ 0, we apply division lemma to 454 and 4797, to get
4797 = 454 x 10 + 257
Step 3: We consider the new divisor 454 and the new remainder 257, and apply the division lemma to get
454 = 257 x 1 + 197
We consider the new divisor 257 and the new remainder 197,and apply the division lemma to get
257 = 197 x 1 + 60
We consider the new divisor 197 and the new remainder 60,and apply the division lemma to get
197 = 60 x 3 + 17
We consider the new divisor 60 and the new remainder 17,and apply the division lemma to get
60 = 17 x 3 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5251 and 4797 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(60,17) = HCF(197,60) = HCF(257,197) = HCF(454,257) = HCF(4797,454) = HCF(5251,4797) .
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Frequently Asked Questions on HCF of 5251, 4797 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 5251, 4797?
Answer: HCF of 5251, 4797 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5251, 4797 using Euclid's Algorithm?
Answer: For arbitrary numbers 5251, 4797 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.