Highest Common Factor of 7257, 3196 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 7257, 3196 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7257, 3196 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 7257, 3196 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 7257, 3196 is 1.
HCF(7257, 3196) = 1
HCF of 7257, 3196 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7257, 3196 is 1.
Highest Common Factor of 7257,3196 is 1
Step 1: Since 7257 > 3196, we apply the division lemma to 7257 and 3196, to get
7257 = 3196 x 2 + 865
Step 2: Since the reminder 3196 ≠ 0, we apply division lemma to 865 and 3196, to get
3196 = 865 x 3 + 601
Step 3: We consider the new divisor 865 and the new remainder 601, and apply the division lemma to get
865 = 601 x 1 + 264
We consider the new divisor 601 and the new remainder 264,and apply the division lemma to get
601 = 264 x 2 + 73
We consider the new divisor 264 and the new remainder 73,and apply the division lemma to get
264 = 73 x 3 + 45
We consider the new divisor 73 and the new remainder 45,and apply the division lemma to get
73 = 45 x 1 + 28
We consider the new divisor 45 and the new remainder 28,and apply the division lemma to get
45 = 28 x 1 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7257 and 3196 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(45,28) = HCF(73,45) = HCF(264,73) = HCF(601,264) = HCF(865,601) = HCF(3196,865) = HCF(7257,3196) .
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Frequently Asked Questions on HCF of 7257, 3196 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 7257, 3196?
Answer: HCF of 7257, 3196 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7257, 3196 using Euclid's Algorithm?
Answer: For arbitrary numbers 7257, 3196 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
