Highest Common Factor of 6004, 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 6004, 1190 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6004, 1190 is 2 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 6004, 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 6004, 1190 is 2.
HCF(6004, 1190) = 2
HCF of 6004, 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 6004, 1190 is 2.
Highest Common Factor of 6004,1190 is 2
Step 1: Since 6004 > 1190, we apply the division lemma to 6004 and 1190, to get
6004 = 1190 x 5 + 54
Step 2: Since the reminder 1190 ≠ 0, we apply division lemma to 54 and 1190, to get
1190 = 54 x 22 + 2
Step 3: We consider the new divisor 54 and the new remainder 2, and apply the division lemma to get
54 = 2 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6004 and 1190 is 2
Notice that 2 = HCF(54,2) = HCF(1190,54) = HCF(6004,1190) .
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Frequently Asked Questions on HCF of 6004, 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 6004, 1190?
Answer: HCF of 6004, 1190 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6004, 1190 using Euclid's Algorithm?
Answer: For arbitrary numbers 6004, 1190 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.