Highest Common Factor of 404, 776, 824, 560 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 404, 776, 824, 560 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 404, 776, 824, 560 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 404, 776, 824, 560 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 404, 776, 824, 560 is 4.
HCF(404, 776, 824, 560) = 4
HCF of 404, 776, 824, 560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 404, 776, 824, 560 is 4.
Highest Common Factor of 404,776,824,560 is 4
Step 1: Since 776 > 404, we apply the division lemma to 776 and 404, to get
776 = 404 x 1 + 372
Step 2: Since the reminder 404 ≠ 0, we apply division lemma to 372 and 404, to get
404 = 372 x 1 + 32
Step 3: We consider the new divisor 372 and the new remainder 32, and apply the division lemma to get
372 = 32 x 11 + 20
We consider the new divisor 32 and the new remainder 20,and apply the division lemma to get
32 = 20 x 1 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 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 404 and 776 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(32,20) = HCF(372,32) = HCF(404,372) = HCF(776,404) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 824 > 4, we apply the division lemma to 824 and 4, to get
824 = 4 x 206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 824 is 4
Notice that 4 = HCF(824,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 560 > 4, we apply the division lemma to 560 and 4, to get
560 = 4 x 140 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 560 is 4
Notice that 4 = HCF(560,4) .
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Frequently Asked Questions on HCF of 404, 776, 824, 560 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 404, 776, 824, 560?
Answer: HCF of 404, 776, 824, 560 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 404, 776, 824, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 404, 776, 824, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.