Highest Common Factor of 1190, 2359 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 1190, 2359 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 1190, 2359 is 7 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 1190, 2359 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 1190, 2359 is 7.
HCF(1190, 2359) = 7
HCF of 1190, 2359 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1190, 2359 is 7.
Highest Common Factor of 1190,2359 is 7
Step 1: Since 2359 > 1190, we apply the division lemma to 2359 and 1190, to get
2359 = 1190 x 1 + 1169
Step 2: Since the reminder 1190 ≠ 0, we apply division lemma to 1169 and 1190, to get
1190 = 1169 x 1 + 21
Step 3: We consider the new divisor 1169 and the new remainder 21, and apply the division lemma to get
1169 = 21 x 55 + 14
We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get
21 = 14 x 1 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 1190 and 2359 is 7
Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(1169,21) = HCF(1190,1169) = HCF(2359,1190) .
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Frequently Asked Questions on HCF of 1190, 2359 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 1190, 2359?
Answer: HCF of 1190, 2359 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1190, 2359 using Euclid's Algorithm?
Answer: For arbitrary numbers 1190, 2359 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.