Highest Common Factor of 923, 8094 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 923, 8094 i.e. 71 the largest integer that leaves a remainder zero for all numbers.
HCF of 923, 8094 is 71 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 923, 8094 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 923, 8094 is 71.
HCF(923, 8094) = 71
HCF of 923, 8094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 923, 8094 is 71.
Highest Common Factor of 923,8094 is 71
Step 1: Since 8094 > 923, we apply the division lemma to 8094 and 923, to get
8094 = 923 x 8 + 710
Step 2: Since the reminder 923 ≠ 0, we apply division lemma to 710 and 923, to get
923 = 710 x 1 + 213
Step 3: We consider the new divisor 710 and the new remainder 213, and apply the division lemma to get
710 = 213 x 3 + 71
We consider the new divisor 213 and the new remainder 71, and apply the division lemma to get
213 = 71 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 71, the HCF of 923 and 8094 is 71
Notice that 71 = HCF(213,71) = HCF(710,213) = HCF(923,710) = HCF(8094,923) .
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Frequently Asked Questions on HCF of 923, 8094 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 923, 8094?
Answer: HCF of 923, 8094 is 71 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 923, 8094 using Euclid's Algorithm?
Answer: For arbitrary numbers 923, 8094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.