Highest Common Factor of 1453, 4855 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 1453, 4855 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1453, 4855 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 1453, 4855 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 1453, 4855 is 1.
HCF(1453, 4855) = 1
HCF of 1453, 4855 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1453, 4855 is 1.
Highest Common Factor of 1453,4855 is 1
Step 1: Since 4855 > 1453, we apply the division lemma to 4855 and 1453, to get
4855 = 1453 x 3 + 496
Step 2: Since the reminder 1453 ≠ 0, we apply division lemma to 496 and 1453, to get
1453 = 496 x 2 + 461
Step 3: We consider the new divisor 496 and the new remainder 461, and apply the division lemma to get
496 = 461 x 1 + 35
We consider the new divisor 461 and the new remainder 35,and apply the division lemma to get
461 = 35 x 13 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1453 and 4855 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(461,35) = HCF(496,461) = HCF(1453,496) = HCF(4855,1453) .
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Frequently Asked Questions on HCF of 1453, 4855 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 1453, 4855?
Answer: HCF of 1453, 4855 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1453, 4855 using Euclid's Algorithm?
Answer: For arbitrary numbers 1453, 4855 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.