Highest Common Factor of 1081, 7442 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 1081, 7442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1081, 7442 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 1081, 7442 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 1081, 7442 is 1.
HCF(1081, 7442) = 1
HCF of 1081, 7442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1081, 7442 is 1.
Highest Common Factor of 1081,7442 is 1
Step 1: Since 7442 > 1081, we apply the division lemma to 7442 and 1081, to get
7442 = 1081 x 6 + 956
Step 2: Since the reminder 1081 ≠ 0, we apply division lemma to 956 and 1081, to get
1081 = 956 x 1 + 125
Step 3: We consider the new divisor 956 and the new remainder 125, and apply the division lemma to get
956 = 125 x 7 + 81
We consider the new divisor 125 and the new remainder 81,and apply the division lemma to get
125 = 81 x 1 + 44
We consider the new divisor 81 and the new remainder 44,and apply the division lemma to get
81 = 44 x 1 + 37
We consider the new divisor 44 and the new remainder 37,and apply the division lemma to get
44 = 37 x 1 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 1081 and 7442 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(44,37) = HCF(81,44) = HCF(125,81) = HCF(956,125) = HCF(1081,956) = HCF(7442,1081) .
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Frequently Asked Questions on HCF of 1081, 7442 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 1081, 7442?
Answer: HCF of 1081, 7442 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1081, 7442 using Euclid's Algorithm?
Answer: For arbitrary numbers 1081, 7442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.