Highest Common Factor of 7096, 5092, 47203 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 7096, 5092, 47203 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7096, 5092, 47203 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 7096, 5092, 47203 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 7096, 5092, 47203 is 1.
HCF(7096, 5092, 47203) = 1
HCF of 7096, 5092, 47203 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7096, 5092, 47203 is 1.
Highest Common Factor of 7096,5092,47203 is 1
Step 1: Since 7096 > 5092, we apply the division lemma to 7096 and 5092, to get
7096 = 5092 x 1 + 2004
Step 2: Since the reminder 5092 ≠ 0, we apply division lemma to 2004 and 5092, to get
5092 = 2004 x 2 + 1084
Step 3: We consider the new divisor 2004 and the new remainder 1084, and apply the division lemma to get
2004 = 1084 x 1 + 920
We consider the new divisor 1084 and the new remainder 920,and apply the division lemma to get
1084 = 920 x 1 + 164
We consider the new divisor 920 and the new remainder 164,and apply the division lemma to get
920 = 164 x 5 + 100
We consider the new divisor 164 and the new remainder 100,and apply the division lemma to get
164 = 100 x 1 + 64
We consider the new divisor 100 and the new remainder 64,and apply the division lemma to get
100 = 64 x 1 + 36
We consider the new divisor 64 and the new remainder 36,and apply the division lemma to get
64 = 36 x 1 + 28
We consider the new divisor 36 and the new remainder 28,and apply the division lemma to get
36 = 28 x 1 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7096 and 5092 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(36,28) = HCF(64,36) = HCF(100,64) = HCF(164,100) = HCF(920,164) = HCF(1084,920) = HCF(2004,1084) = HCF(5092,2004) = HCF(7096,5092) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47203 > 4, we apply the division lemma to 47203 and 4, to get
47203 = 4 x 11800 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 47203 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47203,4) .
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Frequently Asked Questions on HCF of 7096, 5092, 47203 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 7096, 5092, 47203?
Answer: HCF of 7096, 5092, 47203 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7096, 5092, 47203 using Euclid's Algorithm?
Answer: For arbitrary numbers 7096, 5092, 47203 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
