Highest Common Factor of 7534, 1046 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 7534, 1046 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7534, 1046 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 7534, 1046 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 7534, 1046 is 2.
HCF(7534, 1046) = 2
HCF of 7534, 1046 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7534, 1046 is 2.
Highest Common Factor of 7534,1046 is 2
Step 1: Since 7534 > 1046, we apply the division lemma to 7534 and 1046, to get
7534 = 1046 x 7 + 212
Step 2: Since the reminder 1046 ≠ 0, we apply division lemma to 212 and 1046, to get
1046 = 212 x 4 + 198
Step 3: We consider the new divisor 212 and the new remainder 198, and apply the division lemma to get
212 = 198 x 1 + 14
We consider the new divisor 198 and the new remainder 14,and apply the division lemma to get
198 = 14 x 14 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7534 and 1046 is 2
Notice that 2 = HCF(14,2) = HCF(198,14) = HCF(212,198) = HCF(1046,212) = HCF(7534,1046) .
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Frequently Asked Questions on HCF of 7534, 1046 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 7534, 1046?
Answer: HCF of 7534, 1046 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7534, 1046 using Euclid's Algorithm?
Answer: For arbitrary numbers 7534, 1046 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.