Highest Common Factor of 1604, 7126 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 1604, 7126 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1604, 7126 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 1604, 7126 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 1604, 7126 is 2.
HCF(1604, 7126) = 2
HCF of 1604, 7126 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1604, 7126 is 2.
Highest Common Factor of 1604,7126 is 2
Step 1: Since 7126 > 1604, we apply the division lemma to 7126 and 1604, to get
7126 = 1604 x 4 + 710
Step 2: Since the reminder 1604 ≠ 0, we apply division lemma to 710 and 1604, to get
1604 = 710 x 2 + 184
Step 3: We consider the new divisor 710 and the new remainder 184, and apply the division lemma to get
710 = 184 x 3 + 158
We consider the new divisor 184 and the new remainder 158,and apply the division lemma to get
184 = 158 x 1 + 26
We consider the new divisor 158 and the new remainder 26,and apply the division lemma to get
158 = 26 x 6 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1604 and 7126 is 2
Notice that 2 = HCF(26,2) = HCF(158,26) = HCF(184,158) = HCF(710,184) = HCF(1604,710) = HCF(7126,1604) .
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Frequently Asked Questions on HCF of 1604, 7126 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 1604, 7126?
Answer: HCF of 1604, 7126 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1604, 7126 using Euclid's Algorithm?
Answer: For arbitrary numbers 1604, 7126 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.