Highest Common Factor of 4295, 7822 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 4295, 7822 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4295, 7822 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 4295, 7822 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 4295, 7822 is 1.
HCF(4295, 7822) = 1
HCF of 4295, 7822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4295, 7822 is 1.
Highest Common Factor of 4295,7822 is 1
Step 1: Since 7822 > 4295, we apply the division lemma to 7822 and 4295, to get
7822 = 4295 x 1 + 3527
Step 2: Since the reminder 4295 ≠ 0, we apply division lemma to 3527 and 4295, to get
4295 = 3527 x 1 + 768
Step 3: We consider the new divisor 3527 and the new remainder 768, and apply the division lemma to get
3527 = 768 x 4 + 455
We consider the new divisor 768 and the new remainder 455,and apply the division lemma to get
768 = 455 x 1 + 313
We consider the new divisor 455 and the new remainder 313,and apply the division lemma to get
455 = 313 x 1 + 142
We consider the new divisor 313 and the new remainder 142,and apply the division lemma to get
313 = 142 x 2 + 29
We consider the new divisor 142 and the new remainder 29,and apply the division lemma to get
142 = 29 x 4 + 26
We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get
29 = 26 x 1 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4295 and 7822 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(142,29) = HCF(313,142) = HCF(455,313) = HCF(768,455) = HCF(3527,768) = HCF(4295,3527) = HCF(7822,4295) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4295, 7822 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 4295, 7822?
Answer: HCF of 4295, 7822 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4295, 7822 using Euclid's Algorithm?
Answer: For arbitrary numbers 4295, 7822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
