Highest Common Factor of 523, 940 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 523, 940 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 523, 940 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 523, 940 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 523, 940 is 1.
HCF(523, 940) = 1
HCF of 523, 940 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 523, 940 is 1.
Highest Common Factor of 523,940 is 1
Step 1: Since 940 > 523, we apply the division lemma to 940 and 523, to get
940 = 523 x 1 + 417
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 417 and 523, to get
523 = 417 x 1 + 106
Step 3: We consider the new divisor 417 and the new remainder 106, and apply the division lemma to get
417 = 106 x 3 + 99
We consider the new divisor 106 and the new remainder 99,and apply the division lemma to get
106 = 99 x 1 + 7
We consider the new divisor 99 and the new remainder 7,and apply the division lemma to get
99 = 7 x 14 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 523 and 940 is 1
Notice that 1 = HCF(7,1) = HCF(99,7) = HCF(106,99) = HCF(417,106) = HCF(523,417) = HCF(940,523) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 523, 940 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 523, 940?
Answer: HCF of 523, 940 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 523, 940 using Euclid's Algorithm?
Answer: For arbitrary numbers 523, 940 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
