Highest Common Factor of 2477, 4103 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 2477, 4103 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2477, 4103 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 2477, 4103 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 2477, 4103 is 1.
HCF(2477, 4103) = 1
HCF of 2477, 4103 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2477, 4103 is 1.
Highest Common Factor of 2477,4103 is 1
Step 1: Since 4103 > 2477, we apply the division lemma to 4103 and 2477, to get
4103 = 2477 x 1 + 1626
Step 2: Since the reminder 2477 ≠ 0, we apply division lemma to 1626 and 2477, to get
2477 = 1626 x 1 + 851
Step 3: We consider the new divisor 1626 and the new remainder 851, and apply the division lemma to get
1626 = 851 x 1 + 775
We consider the new divisor 851 and the new remainder 775,and apply the division lemma to get
851 = 775 x 1 + 76
We consider the new divisor 775 and the new remainder 76,and apply the division lemma to get
775 = 76 x 10 + 15
We consider the new divisor 76 and the new remainder 15,and apply the division lemma to get
76 = 15 x 5 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2477 and 4103 is 1
Notice that 1 = HCF(15,1) = HCF(76,15) = HCF(775,76) = HCF(851,775) = HCF(1626,851) = HCF(2477,1626) = HCF(4103,2477) .
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Frequently Asked Questions on HCF of 2477, 4103 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 2477, 4103?
Answer: HCF of 2477, 4103 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2477, 4103 using Euclid's Algorithm?
Answer: For arbitrary numbers 2477, 4103 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
