Highest Common Factor of 760, 404 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 760, 404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 760, 404 is 4 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 760, 404 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 760, 404 is 4.
HCF(760, 404) = 4
HCF of 760, 404 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 760, 404 is 4.
Highest Common Factor of 760,404 is 4
Step 1: Since 760 > 404, we apply the division lemma to 760 and 404, to get
760 = 404 x 1 + 356
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 356 and 404, to get
404 = 356 x 1 + 48
Step 3: We consider the new divisor 356 and the new remainder 48, and apply the division lemma to get
356 = 48 x 7 + 20
We consider the new divisor 48 and the new remainder 20,and apply the division lemma to get
48 = 20 x 2 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 760 and 404 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(48,20) = HCF(356,48) = HCF(404,356) = HCF(760,404) .
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Frequently Asked Questions on HCF of 760, 404 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 760, 404?
Answer: HCF of 760, 404 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 760, 404 using Euclid's Algorithm?
Answer: For arbitrary numbers 760, 404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
