Highest Common Factor of 738, 993 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 738, 993 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 738, 993 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 738, 993 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 738, 993 is 3.
HCF(738, 993) = 3
HCF of 738, 993 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 738, 993 is 3.
Highest Common Factor of 738,993 is 3
Step 1: Since 993 > 738, we apply the division lemma to 993 and 738, to get
993 = 738 x 1 + 255
Step 2: Since the reminder 738 ≠ 0, we apply division lemma to 255 and 738, to get
738 = 255 x 2 + 228
Step 3: We consider the new divisor 255 and the new remainder 228, and apply the division lemma to get
255 = 228 x 1 + 27
We consider the new divisor 228 and the new remainder 27,and apply the division lemma to get
228 = 27 x 8 + 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 738 and 993 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(228,27) = HCF(255,228) = HCF(738,255) = HCF(993,738) .
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Frequently Asked Questions on HCF of 738, 993 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 738, 993?
Answer: HCF of 738, 993 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 738, 993 using Euclid's Algorithm?
Answer: For arbitrary numbers 738, 993 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.