Highest Common Factor of 255, 2380, 8054 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 255, 2380, 8054 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 255, 2380, 8054 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 255, 2380, 8054 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 255, 2380, 8054 is 1.
HCF(255, 2380, 8054) = 1
HCF of 255, 2380, 8054 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 255, 2380, 8054 is 1.
Highest Common Factor of 255,2380,8054 is 1
Step 1: Since 2380 > 255, we apply the division lemma to 2380 and 255, to get
2380 = 255 x 9 + 85
Step 2: Since the reminder 255 ≠ 0, we apply division lemma to 85 and 255, to get
255 = 85 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 85, the HCF of 255 and 2380 is 85
Notice that 85 = HCF(255,85) = HCF(2380,255) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 8054 > 85, we apply the division lemma to 8054 and 85, to get
8054 = 85 x 94 + 64
Step 2: Since the reminder 85 ≠ 0, we apply division lemma to 64 and 85, to get
85 = 64 x 1 + 21
Step 3: We consider the new divisor 64 and the new remainder 21, and apply the division lemma to get
64 = 21 x 3 + 1
We consider the new divisor 21 and the new remainder 1, and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 85 and 8054 is 1
Notice that 1 = HCF(21,1) = HCF(64,21) = HCF(85,64) = HCF(8054,85) .
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Frequently Asked Questions on HCF of 255, 2380, 8054 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 255, 2380, 8054?
Answer: HCF of 255, 2380, 8054 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 255, 2380, 8054 using Euclid's Algorithm?
Answer: For arbitrary numbers 255, 2380, 8054 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
