Highest Common Factor of 961, 7534 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 961, 7534 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 961, 7534 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 961, 7534 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 961, 7534 is 1.
HCF(961, 7534) = 1
HCF of 961, 7534 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 961, 7534 is 1.
Highest Common Factor of 961,7534 is 1
Step 1: Since 7534 > 961, we apply the division lemma to 7534 and 961, to get
7534 = 961 x 7 + 807
Step 2: Since the reminder 961 ≠ 0, we apply division lemma to 807 and 961, to get
961 = 807 x 1 + 154
Step 3: We consider the new divisor 807 and the new remainder 154, and apply the division lemma to get
807 = 154 x 5 + 37
We consider the new divisor 154 and the new remainder 37,and apply the division lemma to get
154 = 37 x 4 + 6
We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get
37 = 6 x 6 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 961 and 7534 is 1
Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(154,37) = HCF(807,154) = HCF(961,807) = HCF(7534,961) .
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Frequently Asked Questions on HCF of 961, 7534 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 961, 7534?
Answer: HCF of 961, 7534 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 961, 7534 using Euclid's Algorithm?
Answer: For arbitrary numbers 961, 7534 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.