Highest Common Factor of 522, 937 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, 937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 937 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 522, 937 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, 937 is 1.
HCF(522, 937) = 1
HCF of 522, 937 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, 937 is 1.
Highest Common Factor of 522,937 is 1
Step 1: Since 937 > 522, we apply the division lemma to 937 and 522, to get
937 = 522 x 1 + 415
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 415 and 522, to get
522 = 415 x 1 + 107
Step 3: We consider the new divisor 415 and the new remainder 107, and apply the division lemma to get
415 = 107 x 3 + 94
We consider the new divisor 107 and the new remainder 94,and apply the division lemma to get
107 = 94 x 1 + 13
We consider the new divisor 94 and the new remainder 13,and apply the division lemma to get
94 = 13 x 7 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 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 522 and 937 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(94,13) = HCF(107,94) = HCF(415,107) = HCF(522,415) = HCF(937,522) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 522, 937 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, 937?
Answer: HCF of 522, 937 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 937 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
