Highest Common Factor of 760, 469, 548 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, 469, 548 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 760, 469, 548 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 760, 469, 548 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, 469, 548 is 1.
HCF(760, 469, 548) = 1
HCF of 760, 469, 548 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, 469, 548 is 1.
Highest Common Factor of 760,469,548 is 1
Step 1: Since 760 > 469, we apply the division lemma to 760 and 469, to get
760 = 469 x 1 + 291
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 291 and 469, to get
469 = 291 x 1 + 178
Step 3: We consider the new divisor 291 and the new remainder 178, and apply the division lemma to get
291 = 178 x 1 + 113
We consider the new divisor 178 and the new remainder 113,and apply the division lemma to get
178 = 113 x 1 + 65
We consider the new divisor 113 and the new remainder 65,and apply the division lemma to get
113 = 65 x 1 + 48
We consider the new divisor 65 and the new remainder 48,and apply the division lemma to get
65 = 48 x 1 + 17
We consider the new divisor 48 and the new remainder 17,and apply the division lemma to get
48 = 17 x 2 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 760 and 469 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(48,17) = HCF(65,48) = HCF(113,65) = HCF(178,113) = HCF(291,178) = HCF(469,291) = HCF(760,469) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 548 > 1, we apply the division lemma to 548 and 1, to get
548 = 1 x 548 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 548 is 1
Notice that 1 = HCF(548,1) .
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Frequently Asked Questions on HCF of 760, 469, 548 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, 469, 548?
Answer: HCF of 760, 469, 548 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 760, 469, 548 using Euclid's Algorithm?
Answer: For arbitrary numbers 760, 469, 548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.