Highest Common Factor of 4295, 7694 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, 7694 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4295, 7694 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, 7694 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, 7694 is 1.
HCF(4295, 7694) = 1
HCF of 4295, 7694 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, 7694 is 1.
Highest Common Factor of 4295,7694 is 1
Step 1: Since 7694 > 4295, we apply the division lemma to 7694 and 4295, to get
7694 = 4295 x 1 + 3399
Step 2: Since the reminder 4295 ≠ 0, we apply division lemma to 3399 and 4295, to get
4295 = 3399 x 1 + 896
Step 3: We consider the new divisor 3399 and the new remainder 896, and apply the division lemma to get
3399 = 896 x 3 + 711
We consider the new divisor 896 and the new remainder 711,and apply the division lemma to get
896 = 711 x 1 + 185
We consider the new divisor 711 and the new remainder 185,and apply the division lemma to get
711 = 185 x 3 + 156
We consider the new divisor 185 and the new remainder 156,and apply the division lemma to get
185 = 156 x 1 + 29
We consider the new divisor 156 and the new remainder 29,and apply the division lemma to get
156 = 29 x 5 + 11
We consider the new divisor 29 and the new remainder 11,and apply the division lemma to get
29 = 11 x 2 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 4295 and 7694 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(29,11) = HCF(156,29) = HCF(185,156) = HCF(711,185) = HCF(896,711) = HCF(3399,896) = HCF(4295,3399) = HCF(7694,4295) .
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Frequently Asked Questions on HCF of 4295, 7694 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, 7694?
Answer: HCF of 4295, 7694 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4295, 7694 using Euclid's Algorithm?
Answer: For arbitrary numbers 4295, 7694 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.