Highest Common Factor of 6455, 2800 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 6455, 2800 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6455, 2800 is 5 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 6455, 2800 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 6455, 2800 is 5.
HCF(6455, 2800) = 5
HCF of 6455, 2800 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6455, 2800 is 5.
Highest Common Factor of 6455,2800 is 5
Step 1: Since 6455 > 2800, we apply the division lemma to 6455 and 2800, to get
6455 = 2800 x 2 + 855
Step 2: Since the reminder 2800 ≠ 0, we apply division lemma to 855 and 2800, to get
2800 = 855 x 3 + 235
Step 3: We consider the new divisor 855 and the new remainder 235, and apply the division lemma to get
855 = 235 x 3 + 150
We consider the new divisor 235 and the new remainder 150,and apply the division lemma to get
235 = 150 x 1 + 85
We consider the new divisor 150 and the new remainder 85,and apply the division lemma to get
150 = 85 x 1 + 65
We consider the new divisor 85 and the new remainder 65,and apply the division lemma to get
85 = 65 x 1 + 20
We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get
65 = 20 x 3 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6455 and 2800 is 5
Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(85,65) = HCF(150,85) = HCF(235,150) = HCF(855,235) = HCF(2800,855) = HCF(6455,2800) .
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Frequently Asked Questions on HCF of 6455, 2800 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 6455, 2800?
Answer: HCF of 6455, 2800 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6455, 2800 using Euclid's Algorithm?
Answer: For arbitrary numbers 6455, 2800 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.