Highest Common Factor of 562, 776, 763 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 562, 776, 763 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 776, 763 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 562, 776, 763 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 562, 776, 763 is 1.
HCF(562, 776, 763) = 1
HCF of 562, 776, 763 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 562, 776, 763 is 1.
Highest Common Factor of 562,776,763 is 1
Step 1: Since 776 > 562, we apply the division lemma to 776 and 562, to get
776 = 562 x 1 + 214
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 214 and 562, to get
562 = 214 x 2 + 134
Step 3: We consider the new divisor 214 and the new remainder 134, and apply the division lemma to get
214 = 134 x 1 + 80
We consider the new divisor 134 and the new remainder 80,and apply the division lemma to get
134 = 80 x 1 + 54
We consider the new divisor 80 and the new remainder 54,and apply the division lemma to get
80 = 54 x 1 + 26
We consider the new divisor 54 and the new remainder 26,and apply the division lemma to get
54 = 26 x 2 + 2
We consider the new divisor 26 and the new remainder 2,and apply the division lemma to get
26 = 2 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 562 and 776 is 2
Notice that 2 = HCF(26,2) = HCF(54,26) = HCF(80,54) = HCF(134,80) = HCF(214,134) = HCF(562,214) = HCF(776,562) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 763 > 2, we apply the division lemma to 763 and 2, to get
763 = 2 x 381 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 763 is 1
Notice that 1 = HCF(2,1) = HCF(763,2) .
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Frequently Asked Questions on HCF of 562, 776, 763 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 562, 776, 763?
Answer: HCF of 562, 776, 763 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 776, 763 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 776, 763 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
