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 461, 79196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 461, 79196 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 461, 79196 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 461, 79196 is 1.
HCF(461, 79196) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 461, 79196 is 1.
Step 1: Since 79196 > 461, we apply the division lemma to 79196 and 461, to get
79196 = 461 x 171 + 365
Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 365 and 461, to get
461 = 365 x 1 + 96
Step 3: We consider the new divisor 365 and the new remainder 96, and apply the division lemma to get
365 = 96 x 3 + 77
We consider the new divisor 96 and the new remainder 77,and apply the division lemma to get
96 = 77 x 1 + 19
We consider the new divisor 77 and the new remainder 19,and apply the division lemma to get
77 = 19 x 4 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 461 and 79196 is 1
Notice that 1 = HCF(19,1) = HCF(77,19) = HCF(96,77) = HCF(365,96) = HCF(461,365) = HCF(79196,461) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 461, 79196?
Answer: HCF of 461, 79196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 461, 79196 using Euclid's Algorithm?
Answer: For arbitrary numbers 461, 79196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.