Highest Common Factor of 4981, 4307 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 4981, 4307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4981, 4307 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 4981, 4307 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 4981, 4307 is 1.
HCF(4981, 4307) = 1
HCF of 4981, 4307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4981, 4307 is 1.
Highest Common Factor of 4981,4307 is 1
Step 1: Since 4981 > 4307, we apply the division lemma to 4981 and 4307, to get
4981 = 4307 x 1 + 674
Step 2: Since the reminder 4307 ≠ 0, we apply division lemma to 674 and 4307, to get
4307 = 674 x 6 + 263
Step 3: We consider the new divisor 674 and the new remainder 263, and apply the division lemma to get
674 = 263 x 2 + 148
We consider the new divisor 263 and the new remainder 148,and apply the division lemma to get
263 = 148 x 1 + 115
We consider the new divisor 148 and the new remainder 115,and apply the division lemma to get
148 = 115 x 1 + 33
We consider the new divisor 115 and the new remainder 33,and apply the division lemma to get
115 = 33 x 3 + 16
We consider the new divisor 33 and the new remainder 16,and apply the division lemma to get
33 = 16 x 2 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4981 and 4307 is 1
Notice that 1 = HCF(16,1) = HCF(33,16) = HCF(115,33) = HCF(148,115) = HCF(263,148) = HCF(674,263) = HCF(4307,674) = HCF(4981,4307) .
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Frequently Asked Questions on HCF of 4981, 4307 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 4981, 4307?
Answer: HCF of 4981, 4307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4981, 4307 using Euclid's Algorithm?
Answer: For arbitrary numbers 4981, 4307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.