Highest Common Factor of 901, 867, 306 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 901, 867, 306 i.e. 17 the largest integer that leaves a remainder zero for all numbers.
HCF of 901, 867, 306 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 901, 867, 306 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 901, 867, 306 is 17.
HCF(901, 867, 306) = 17
HCF of 901, 867, 306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 901, 867, 306 is 17.
Highest Common Factor of 901,867,306 is 17
Step 1: Since 901 > 867, we apply the division lemma to 901 and 867, to get
901 = 867 x 1 + 34
Step 2: Since the reminder 867 ≠ 0, we apply division lemma to 34 and 867, to get
867 = 34 x 25 + 17
Step 3: We consider the new divisor 34 and the new remainder 17, and apply the division lemma 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 901 and 867 is 17
Notice that 17 = HCF(34,17) = HCF(867,34) = HCF(901,867) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 306 > 17, we apply the division lemma to 306 and 17, to get
306 = 17 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 17, the HCF of 17 and 306 is 17
Notice that 17 = HCF(306,17) .
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Frequently Asked Questions on HCF of 901, 867, 306 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 901, 867, 306?
Answer: HCF of 901, 867, 306 is 17 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 901, 867, 306 using Euclid's Algorithm?
Answer: For arbitrary numbers 901, 867, 306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
