Highest Common Factor of 8307, 944 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 8307, 944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8307, 944 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 8307, 944 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 8307, 944 is 1.
HCF(8307, 944) = 1
HCF of 8307, 944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8307, 944 is 1.
Highest Common Factor of 8307,944 is 1
Step 1: Since 8307 > 944, we apply the division lemma to 8307 and 944, to get
8307 = 944 x 8 + 755
Step 2: Since the reminder 944 ≠ 0, we apply division lemma to 755 and 944, to get
944 = 755 x 1 + 189
Step 3: We consider the new divisor 755 and the new remainder 189, and apply the division lemma to get
755 = 189 x 3 + 188
We consider the new divisor 189 and the new remainder 188,and apply the division lemma to get
189 = 188 x 1 + 1
We consider the new divisor 188 and the new remainder 1,and apply the division lemma to get
188 = 1 x 188 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8307 and 944 is 1
Notice that 1 = HCF(188,1) = HCF(189,188) = HCF(755,189) = HCF(944,755) = HCF(8307,944) .
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Frequently Asked Questions on HCF of 8307, 944 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 8307, 944?
Answer: HCF of 8307, 944 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8307, 944 using Euclid's Algorithm?
Answer: For arbitrary numbers 8307, 944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.