Highest Common Factor of 693, 792, 927 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 693, 792, 927 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 693, 792, 927 is 9 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 693, 792, 927 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 693, 792, 927 is 9.
HCF(693, 792, 927) = 9
HCF of 693, 792, 927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 693, 792, 927 is 9.
Highest Common Factor of 693,792,927 is 9
Step 1: Since 792 > 693, we apply the division lemma to 792 and 693, to get
792 = 693 x 1 + 99
Step 2: Since the reminder 693 ≠ 0, we apply division lemma to 99 and 693, to get
693 = 99 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 99, the HCF of 693 and 792 is 99
Notice that 99 = HCF(693,99) = HCF(792,693) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 927 > 99, we apply the division lemma to 927 and 99, to get
927 = 99 x 9 + 36
Step 2: Since the reminder 99 ≠ 0, we apply division lemma to 36 and 99, to get
99 = 36 x 2 + 27
Step 3: We consider the new divisor 36 and the new remainder 27, and apply the division lemma to get
36 = 27 x 1 + 9
We consider the new divisor 27 and the new remainder 9, and apply the division lemma to get
27 = 9 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 99 and 927 is 9
Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(99,36) = HCF(927,99) .
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Frequently Asked Questions on HCF of 693, 792, 927 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 693, 792, 927?
Answer: HCF of 693, 792, 927 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 693, 792, 927 using Euclid's Algorithm?
Answer: For arbitrary numbers 693, 792, 927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.