Highest Common Factor of 4495, 7847 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 4495, 7847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4495, 7847 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 4495, 7847 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 4495, 7847 is 1.
HCF(4495, 7847) = 1
HCF of 4495, 7847 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4495, 7847 is 1.
Highest Common Factor of 4495,7847 is 1
Step 1: Since 7847 > 4495, we apply the division lemma to 7847 and 4495, to get
7847 = 4495 x 1 + 3352
Step 2: Since the reminder 4495 ≠ 0, we apply division lemma to 3352 and 4495, to get
4495 = 3352 x 1 + 1143
Step 3: We consider the new divisor 3352 and the new remainder 1143, and apply the division lemma to get
3352 = 1143 x 2 + 1066
We consider the new divisor 1143 and the new remainder 1066,and apply the division lemma to get
1143 = 1066 x 1 + 77
We consider the new divisor 1066 and the new remainder 77,and apply the division lemma to get
1066 = 77 x 13 + 65
We consider the new divisor 77 and the new remainder 65,and apply the division lemma to get
77 = 65 x 1 + 12
We consider the new divisor 65 and the new remainder 12,and apply the division lemma to get
65 = 12 x 5 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 4495 and 7847 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(65,12) = HCF(77,65) = HCF(1066,77) = HCF(1143,1066) = HCF(3352,1143) = HCF(4495,3352) = HCF(7847,4495) .
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Frequently Asked Questions on HCF of 4495, 7847 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 4495, 7847?
Answer: HCF of 4495, 7847 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4495, 7847 using Euclid's Algorithm?
Answer: For arbitrary numbers 4495, 7847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
