Highest Common Factor of 1021, 4977 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 1021, 4977 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1021, 4977 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 1021, 4977 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 1021, 4977 is 1.
HCF(1021, 4977) = 1
HCF of 1021, 4977 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1021, 4977 is 1.
Highest Common Factor of 1021,4977 is 1
Step 1: Since 4977 > 1021, we apply the division lemma to 4977 and 1021, to get
4977 = 1021 x 4 + 893
Step 2: Since the reminder 1021 ≠ 0, we apply division lemma to 893 and 1021, to get
1021 = 893 x 1 + 128
Step 3: We consider the new divisor 893 and the new remainder 128, and apply the division lemma to get
893 = 128 x 6 + 125
We consider the new divisor 128 and the new remainder 125,and apply the division lemma to get
128 = 125 x 1 + 3
We consider the new divisor 125 and the new remainder 3,and apply the division lemma to get
125 = 3 x 41 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1021 and 4977 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(125,3) = HCF(128,125) = HCF(893,128) = HCF(1021,893) = HCF(4977,1021) .
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Frequently Asked Questions on HCF of 1021, 4977 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 1021, 4977?
Answer: HCF of 1021, 4977 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1021, 4977 using Euclid's Algorithm?
Answer: For arbitrary numbers 1021, 4977 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
