Highest Common Factor of 562, 2669, 7134 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, 2669, 7134 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 2669, 7134 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, 2669, 7134 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, 2669, 7134 is 1.
HCF(562, 2669, 7134) = 1
HCF of 562, 2669, 7134 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, 2669, 7134 is 1.
Highest Common Factor of 562,2669,7134 is 1
Step 1: Since 2669 > 562, we apply the division lemma to 2669 and 562, to get
2669 = 562 x 4 + 421
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 421 and 562, to get
562 = 421 x 1 + 141
Step 3: We consider the new divisor 421 and the new remainder 141, and apply the division lemma to get
421 = 141 x 2 + 139
We consider the new divisor 141 and the new remainder 139,and apply the division lemma to get
141 = 139 x 1 + 2
We consider the new divisor 139 and the new remainder 2,and apply the division lemma to get
139 = 2 x 69 + 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 562 and 2669 is 1
Notice that 1 = HCF(2,1) = HCF(139,2) = HCF(141,139) = HCF(421,141) = HCF(562,421) = HCF(2669,562) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7134 > 1, we apply the division lemma to 7134 and 1, to get
7134 = 1 x 7134 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7134 is 1
Notice that 1 = HCF(7134,1) .
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Frequently Asked Questions on HCF of 562, 2669, 7134 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, 2669, 7134?
Answer: HCF of 562, 2669, 7134 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 2669, 7134 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 2669, 7134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.