Highest Common Factor of 522, 926, 662, 94 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 522, 926, 662, 94 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 926, 662, 94 is 2 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 522, 926, 662, 94 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 522, 926, 662, 94 is 2.
HCF(522, 926, 662, 94) = 2
HCF of 522, 926, 662, 94 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 522, 926, 662, 94 is 2.
Highest Common Factor of 522,926,662,94 is 2
Step 1: Since 926 > 522, we apply the division lemma to 926 and 522, to get
926 = 522 x 1 + 404
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 404 and 522, to get
522 = 404 x 1 + 118
Step 3: We consider the new divisor 404 and the new remainder 118, and apply the division lemma to get
404 = 118 x 3 + 50
We consider the new divisor 118 and the new remainder 50,and apply the division lemma to get
118 = 50 x 2 + 18
We consider the new divisor 50 and the new remainder 18,and apply the division lemma to get
50 = 18 x 2 + 14
We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get
18 = 14 x 1 + 4
We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get
14 = 4 x 3 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 522 and 926 is 2
Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(50,18) = HCF(118,50) = HCF(404,118) = HCF(522,404) = HCF(926,522) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 662 > 2, we apply the division lemma to 662 and 2, to get
662 = 2 x 331 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 662 is 2
Notice that 2 = HCF(662,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94 > 2, we apply the division lemma to 94 and 2, to get
94 = 2 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 94 is 2
Notice that 2 = HCF(94,2) .
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Frequently Asked Questions on HCF of 522, 926, 662, 94 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 522, 926, 662, 94?
Answer: HCF of 522, 926, 662, 94 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 926, 662, 94 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 926, 662, 94 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.