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 839, 79422 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 79422 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 839, 79422 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 839, 79422 is 1.
HCF(839, 79422) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 79422 is 1.
Step 1: Since 79422 > 839, we apply the division lemma to 79422 and 839, to get
79422 = 839 x 94 + 556
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 556 and 839, to get
839 = 556 x 1 + 283
Step 3: We consider the new divisor 556 and the new remainder 283, and apply the division lemma to get
556 = 283 x 1 + 273
We consider the new divisor 283 and the new remainder 273,and apply the division lemma to get
283 = 273 x 1 + 10
We consider the new divisor 273 and the new remainder 10,and apply the division lemma to get
273 = 10 x 27 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 79422 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(273,10) = HCF(283,273) = HCF(556,283) = HCF(839,556) = HCF(79422,839) .
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 839, 79422?
Answer: HCF of 839, 79422 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 79422 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 79422 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.