Highest Common Factor of 793, 1752, 7192 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 793, 1752, 7192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 793, 1752, 7192 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 793, 1752, 7192 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 793, 1752, 7192 is 1.
HCF(793, 1752, 7192) = 1
HCF of 793, 1752, 7192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 793, 1752, 7192 is 1.
Highest Common Factor of 793,1752,7192 is 1
Step 1: Since 1752 > 793, we apply the division lemma to 1752 and 793, to get
1752 = 793 x 2 + 166
Step 2: Since the reminder 793 ≠ 0, we apply division lemma to 166 and 793, to get
793 = 166 x 4 + 129
Step 3: We consider the new divisor 166 and the new remainder 129, and apply the division lemma to get
166 = 129 x 1 + 37
We consider the new divisor 129 and the new remainder 37,and apply the division lemma to get
129 = 37 x 3 + 18
We consider the new divisor 37 and the new remainder 18,and apply the division lemma to get
37 = 18 x 2 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 793 and 1752 is 1
Notice that 1 = HCF(18,1) = HCF(37,18) = HCF(129,37) = HCF(166,129) = HCF(793,166) = HCF(1752,793) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7192 > 1, we apply the division lemma to 7192 and 1, to get
7192 = 1 x 7192 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7192 is 1
Notice that 1 = HCF(7192,1) .
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Frequently Asked Questions on HCF of 793, 1752, 7192 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 793, 1752, 7192?
Answer: HCF of 793, 1752, 7192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 793, 1752, 7192 using Euclid's Algorithm?
Answer: For arbitrary numbers 793, 1752, 7192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
