Highest Common Factor of 68, 34, 255 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 68, 34, 255 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 68, 34, 255 is 17 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 68, 34, 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 68, 34, 255 is 17.
HCF(68, 34, 255) = 17
HCF of 68, 34, 255 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 68, 34, 255 is 17.
Highest Common Factor of 68,34,255 is 17
Step 1: Since 68 > 34, we apply the division lemma to 68 and 34, to get
68 = 34 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 68 and 34 is 34
Notice that 34 = HCF(68,34) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 255 > 34, we apply the division lemma to 255 and 34, to get
255 = 34 x 7 + 17
Step 2: Since the reminder 34 ≠ 0, we apply division lemma to 17 and 34, to get
34 = 17 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 34 and 255 is 17
Notice that 17 = HCF(34,17) = HCF(255,34) .
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Frequently Asked Questions on HCF of 68, 34, 255 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 68, 34, 255?
Answer: HCF of 68, 34, 255 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 68, 34, 255 using Euclid's Algorithm?
Answer: For arbitrary numbers 68, 34, 255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.