Highest Common Factor of 764, 565, 204, 478 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 764, 565, 204, 478 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 764, 565, 204, 478 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 764, 565, 204, 478 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 764, 565, 204, 478 is 1.
HCF(764, 565, 204, 478) = 1
HCF of 764, 565, 204, 478 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 764, 565, 204, 478 is 1.
Highest Common Factor of 764,565,204,478 is 1
Step 1: Since 764 > 565, we apply the division lemma to 764 and 565, to get
764 = 565 x 1 + 199
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 199 and 565, to get
565 = 199 x 2 + 167
Step 3: We consider the new divisor 199 and the new remainder 167, and apply the division lemma to get
199 = 167 x 1 + 32
We consider the new divisor 167 and the new remainder 32,and apply the division lemma to get
167 = 32 x 5 + 7
We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get
32 = 7 x 4 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 764 and 565 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(167,32) = HCF(199,167) = HCF(565,199) = HCF(764,565) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 204 > 1, we apply the division lemma to 204 and 1, to get
204 = 1 x 204 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 204 is 1
Notice that 1 = HCF(204,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 478 > 1, we apply the division lemma to 478 and 1, to get
478 = 1 x 478 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 478 is 1
Notice that 1 = HCF(478,1) .
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Frequently Asked Questions on HCF of 764, 565, 204, 478 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 764, 565, 204, 478?
Answer: HCF of 764, 565, 204, 478 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 764, 565, 204, 478 using Euclid's Algorithm?
Answer: For arbitrary numbers 764, 565, 204, 478 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
