Highest Common Factor of 1150, 7606 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 1150, 7606 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1150, 7606 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 1150, 7606 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 1150, 7606 is 2.
HCF(1150, 7606) = 2
HCF of 1150, 7606 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1150, 7606 is 2.
Highest Common Factor of 1150,7606 is 2
Step 1: Since 7606 > 1150, we apply the division lemma to 7606 and 1150, to get
7606 = 1150 x 6 + 706
Step 2: Since the reminder 1150 ≠ 0, we apply division lemma to 706 and 1150, to get
1150 = 706 x 1 + 444
Step 3: We consider the new divisor 706 and the new remainder 444, and apply the division lemma to get
706 = 444 x 1 + 262
We consider the new divisor 444 and the new remainder 262,and apply the division lemma to get
444 = 262 x 1 + 182
We consider the new divisor 262 and the new remainder 182,and apply the division lemma to get
262 = 182 x 1 + 80
We consider the new divisor 182 and the new remainder 80,and apply the division lemma to get
182 = 80 x 2 + 22
We consider the new divisor 80 and the new remainder 22,and apply the division lemma to get
80 = 22 x 3 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1150 and 7606 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(80,22) = HCF(182,80) = HCF(262,182) = HCF(444,262) = HCF(706,444) = HCF(1150,706) = HCF(7606,1150) .
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Frequently Asked Questions on HCF of 1150, 7606 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 1150, 7606?
Answer: HCF of 1150, 7606 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1150, 7606 using Euclid's Algorithm?
Answer: For arbitrary numbers 1150, 7606 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
