Highest Common Factor of 5455, 1498 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 5455, 1498 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5455, 1498 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 5455, 1498 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 5455, 1498 is 1.
HCF(5455, 1498) = 1
HCF of 5455, 1498 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5455, 1498 is 1.
Highest Common Factor of 5455,1498 is 1
Step 1: Since 5455 > 1498, we apply the division lemma to 5455 and 1498, to get
5455 = 1498 x 3 + 961
Step 2: Since the reminder 1498 ≠ 0, we apply division lemma to 961 and 1498, to get
1498 = 961 x 1 + 537
Step 3: We consider the new divisor 961 and the new remainder 537, and apply the division lemma to get
961 = 537 x 1 + 424
We consider the new divisor 537 and the new remainder 424,and apply the division lemma to get
537 = 424 x 1 + 113
We consider the new divisor 424 and the new remainder 113,and apply the division lemma to get
424 = 113 x 3 + 85
We consider the new divisor 113 and the new remainder 85,and apply the division lemma to get
113 = 85 x 1 + 28
We consider the new divisor 85 and the new remainder 28,and apply the division lemma to get
85 = 28 x 3 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5455 and 1498 is 1
Notice that 1 = HCF(28,1) = HCF(85,28) = HCF(113,85) = HCF(424,113) = HCF(537,424) = HCF(961,537) = HCF(1498,961) = HCF(5455,1498) .
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Frequently Asked Questions on HCF of 5455, 1498 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 5455, 1498?
Answer: HCF of 5455, 1498 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5455, 1498 using Euclid's Algorithm?
Answer: For arbitrary numbers 5455, 1498 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.