Highest Common Factor of 747, 867 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 747, 867 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 747, 867 is 3 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 747, 867 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 747, 867 is 3.
HCF(747, 867) = 3
HCF of 747, 867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 747, 867 is 3.
Highest Common Factor of 747,867 is 3
Step 1: Since 867 > 747, we apply the division lemma to 867 and 747, to get
867 = 747 x 1 + 120
Step 2: Since the reminder 747 ≠ 0, we apply division lemma to 120 and 747, to get
747 = 120 x 6 + 27
Step 3: We consider the new divisor 120 and the new remainder 27, and apply the division lemma to get
120 = 27 x 4 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 747 and 867 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(120,27) = HCF(747,120) = HCF(867,747) .
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Frequently Asked Questions on HCF of 747, 867 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 747, 867?
Answer: HCF of 747, 867 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 747, 867 using Euclid's Algorithm?
Answer: For arbitrary numbers 747, 867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.