Highest Common Factor of 400, 7491 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 400, 7491 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 400, 7491 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 400, 7491 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 400, 7491 is 1.
HCF(400, 7491) = 1
HCF of 400, 7491 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 400, 7491 is 1.
Highest Common Factor of 400,7491 is 1
Step 1: Since 7491 > 400, we apply the division lemma to 7491 and 400, to get
7491 = 400 x 18 + 291
Step 2: Since the reminder 400 ≠ 0, we apply division lemma to 291 and 400, to get
400 = 291 x 1 + 109
Step 3: We consider the new divisor 291 and the new remainder 109, and apply the division lemma to get
291 = 109 x 2 + 73
We consider the new divisor 109 and the new remainder 73,and apply the division lemma to get
109 = 73 x 1 + 36
We consider the new divisor 73 and the new remainder 36,and apply the division lemma to get
73 = 36 x 2 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 400 and 7491 is 1
Notice that 1 = HCF(36,1) = HCF(73,36) = HCF(109,73) = HCF(291,109) = HCF(400,291) = HCF(7491,400) .
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Frequently Asked Questions on HCF of 400, 7491 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 400, 7491?
Answer: HCF of 400, 7491 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 400, 7491 using Euclid's Algorithm?
Answer: For arbitrary numbers 400, 7491 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.