Highest Common Factor of 520, 844 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, 844 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 520, 844 is 4 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, 844 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, 844 is 4.
HCF(520, 844) = 4
HCF of 520, 844 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, 844 is 4.
Highest Common Factor of 520,844 is 4
Step 1: Since 844 > 520, we apply the division lemma to 844 and 520, to get
844 = 520 x 1 + 324
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 324 and 520, to get
520 = 324 x 1 + 196
Step 3: We consider the new divisor 324 and the new remainder 196, and apply the division lemma to get
324 = 196 x 1 + 128
We consider the new divisor 196 and the new remainder 128,and apply the division lemma to get
196 = 128 x 1 + 68
We consider the new divisor 128 and the new remainder 68,and apply the division lemma to get
128 = 68 x 1 + 60
We consider the new divisor 68 and the new remainder 60,and apply the division lemma to get
68 = 60 x 1 + 8
We consider the new divisor 60 and the new remainder 8,and apply the division lemma to get
60 = 8 x 7 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 520 and 844 is 4
Notice that 4 = HCF(8,4) = HCF(60,8) = HCF(68,60) = HCF(128,68) = HCF(196,128) = HCF(324,196) = HCF(520,324) = HCF(844,520) .
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Frequently Asked Questions on HCF of 520, 844 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, 844?
Answer: HCF of 520, 844 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 520, 844 using Euclid's Algorithm?
Answer: For arbitrary numbers 520, 844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.