Highest Common Factor of 3247, 5296 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 3247, 5296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3247, 5296 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 3247, 5296 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 3247, 5296 is 1.
HCF(3247, 5296) = 1
HCF of 3247, 5296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3247, 5296 is 1.
Highest Common Factor of 3247,5296 is 1
Step 1: Since 5296 > 3247, we apply the division lemma to 5296 and 3247, to get
5296 = 3247 x 1 + 2049
Step 2: Since the reminder 3247 ≠ 0, we apply division lemma to 2049 and 3247, to get
3247 = 2049 x 1 + 1198
Step 3: We consider the new divisor 2049 and the new remainder 1198, and apply the division lemma to get
2049 = 1198 x 1 + 851
We consider the new divisor 1198 and the new remainder 851,and apply the division lemma to get
1198 = 851 x 1 + 347
We consider the new divisor 851 and the new remainder 347,and apply the division lemma to get
851 = 347 x 2 + 157
We consider the new divisor 347 and the new remainder 157,and apply the division lemma to get
347 = 157 x 2 + 33
We consider the new divisor 157 and the new remainder 33,and apply the division lemma to get
157 = 33 x 4 + 25
We consider the new divisor 33 and the new remainder 25,and apply the division lemma to get
33 = 25 x 1 + 8
We consider the new divisor 25 and the new remainder 8,and apply the division lemma to get
25 = 8 x 3 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3247 and 5296 is 1
Notice that 1 = HCF(8,1) = HCF(25,8) = HCF(33,25) = HCF(157,33) = HCF(347,157) = HCF(851,347) = HCF(1198,851) = HCF(2049,1198) = HCF(3247,2049) = HCF(5296,3247) .
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Frequently Asked Questions on HCF of 3247, 5296 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 3247, 5296?
Answer: HCF of 3247, 5296 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3247, 5296 using Euclid's Algorithm?
Answer: For arbitrary numbers 3247, 5296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.