Highest Common Factor of 796, 79404 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 796, 79404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 796, 79404 is 4 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 796, 79404 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 796, 79404 is 4.
HCF(796, 79404) = 4
HCF of 796, 79404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 796, 79404 is 4.
Highest Common Factor of 796,79404 is 4
Step 1: Since 79404 > 796, we apply the division lemma to 79404 and 796, to get
79404 = 796 x 99 + 600
Step 2: Since the reminder 796 ≠ 0, we apply division lemma to 600 and 796, to get
796 = 600 x 1 + 196
Step 3: We consider the new divisor 600 and the new remainder 196, and apply the division lemma to get
600 = 196 x 3 + 12
We consider the new divisor 196 and the new remainder 12,and apply the division lemma to get
196 = 12 x 16 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 796 and 79404 is 4
Notice that 4 = HCF(12,4) = HCF(196,12) = HCF(600,196) = HCF(796,600) = HCF(79404,796) .
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Frequently Asked Questions on HCF of 796, 79404 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 796, 79404?
Answer: HCF of 796, 79404 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 796, 79404 using Euclid's Algorithm?
Answer: For arbitrary numbers 796, 79404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.