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 341, 455, 255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 341, 455, 255 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 341, 455, 255 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 341, 455, 255 is 1.
HCF(341, 455, 255) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 341, 455, 255 is 1.
Step 1: Since 455 > 341, we apply the division lemma to 455 and 341, to get
455 = 341 x 1 + 114
Step 2: Since the reminder 341 ≠ 0, we apply division lemma to 114 and 341, to get
341 = 114 x 2 + 113
Step 3: We consider the new divisor 114 and the new remainder 113, and apply the division lemma to get
114 = 113 x 1 + 1
We consider the new divisor 113 and the new remainder 1, and apply the division lemma to get
113 = 1 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 341 and 455 is 1
Notice that 1 = HCF(113,1) = HCF(114,113) = HCF(341,114) = HCF(455,341) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 255 > 1, we apply the division lemma to 255 and 1, to get
255 = 1 x 255 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 255 is 1
Notice that 1 = HCF(255,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 341, 455, 255?
Answer: HCF of 341, 455, 255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 341, 455, 255 using Euclid's Algorithm?
Answer: For arbitrary numbers 341, 455, 255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.