Highest Common Factor of 3247, 1119 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, 1119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3247, 1119 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, 1119 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, 1119 is 1.
HCF(3247, 1119) = 1
HCF of 3247, 1119 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, 1119 is 1.
Highest Common Factor of 3247,1119 is 1
Step 1: Since 3247 > 1119, we apply the division lemma to 3247 and 1119, to get
3247 = 1119 x 2 + 1009
Step 2: Since the reminder 1119 ≠ 0, we apply division lemma to 1009 and 1119, to get
1119 = 1009 x 1 + 110
Step 3: We consider the new divisor 1009 and the new remainder 110, and apply the division lemma to get
1009 = 110 x 9 + 19
We consider the new divisor 110 and the new remainder 19,and apply the division lemma to get
110 = 19 x 5 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 3247 and 1119 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(110,19) = HCF(1009,110) = HCF(1119,1009) = HCF(3247,1119) .
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Frequently Asked Questions on HCF of 3247, 1119 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, 1119?
Answer: HCF of 3247, 1119 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3247, 1119 using Euclid's Algorithm?
Answer: For arbitrary numbers 3247, 1119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.