Highest Common Factor of 791, 435 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 791, 435 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 791, 435 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 791, 435 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 791, 435 is 1.
HCF(791, 435) = 1
HCF of 791, 435 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 791, 435 is 1.
Highest Common Factor of 791,435 is 1
Step 1: Since 791 > 435, we apply the division lemma to 791 and 435, to get
791 = 435 x 1 + 356
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 356 and 435, to get
435 = 356 x 1 + 79
Step 3: We consider the new divisor 356 and the new remainder 79, and apply the division lemma to get
356 = 79 x 4 + 40
We consider the new divisor 79 and the new remainder 40,and apply the division lemma to get
79 = 40 x 1 + 39
We consider the new divisor 40 and the new remainder 39,and apply the division lemma to get
40 = 39 x 1 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 791 and 435 is 1
Notice that 1 = HCF(39,1) = HCF(40,39) = HCF(79,40) = HCF(356,79) = HCF(435,356) = HCF(791,435) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 791, 435 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 791, 435?
Answer: HCF of 791, 435 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 791, 435 using Euclid's Algorithm?
Answer: For arbitrary numbers 791, 435 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.