Highest Common Factor of 520, 1942 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 520, 1942 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 1942 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 520, 1942 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 520, 1942 is 2.
HCF(520, 1942) = 2
HCF of 520, 1942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 520, 1942 is 2.
Highest Common Factor of 520,1942 is 2
Step 1: Since 1942 > 520, we apply the division lemma to 1942 and 520, to get
1942 = 520 x 3 + 382
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 382 and 520, to get
520 = 382 x 1 + 138
Step 3: We consider the new divisor 382 and the new remainder 138, and apply the division lemma to get
382 = 138 x 2 + 106
We consider the new divisor 138 and the new remainder 106,and apply the division lemma to get
138 = 106 x 1 + 32
We consider the new divisor 106 and the new remainder 32,and apply the division lemma to get
106 = 32 x 3 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 520 and 1942 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(106,32) = HCF(138,106) = HCF(382,138) = HCF(520,382) = HCF(1942,520) .
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Frequently Asked Questions on HCF of 520, 1942 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 520, 1942?
Answer: HCF of 520, 1942 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 1942 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 1942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.