Highest Common Factor of 3117, 1190 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 3117, 1190 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3117, 1190 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 3117, 1190 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 3117, 1190 is 1.
HCF(3117, 1190) = 1
HCF of 3117, 1190 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3117, 1190 is 1.
Highest Common Factor of 3117,1190 is 1
Step 1: Since 3117 > 1190, we apply the division lemma to 3117 and 1190, to get
3117 = 1190 x 2 + 737
Step 2: Since the reminder 1190 ≠ 0, we apply division lemma to 737 and 1190, to get
1190 = 737 x 1 + 453
Step 3: We consider the new divisor 737 and the new remainder 453, and apply the division lemma to get
737 = 453 x 1 + 284
We consider the new divisor 453 and the new remainder 284,and apply the division lemma to get
453 = 284 x 1 + 169
We consider the new divisor 284 and the new remainder 169,and apply the division lemma to get
284 = 169 x 1 + 115
We consider the new divisor 169 and the new remainder 115,and apply the division lemma to get
169 = 115 x 1 + 54
We consider the new divisor 115 and the new remainder 54,and apply the division lemma to get
115 = 54 x 2 + 7
We consider the new divisor 54 and the new remainder 7,and apply the division lemma to get
54 = 7 x 7 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 3117 and 1190 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(54,7) = HCF(115,54) = HCF(169,115) = HCF(284,169) = HCF(453,284) = HCF(737,453) = HCF(1190,737) = HCF(3117,1190) .
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Frequently Asked Questions on HCF of 3117, 1190 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 3117, 1190?
Answer: HCF of 3117, 1190 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3117, 1190 using Euclid's Algorithm?
Answer: For arbitrary numbers 3117, 1190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
