Highest Common Factor of 884, 520, 557 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 884, 520, 557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 884, 520, 557 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 884, 520, 557 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 884, 520, 557 is 1.
HCF(884, 520, 557) = 1
HCF of 884, 520, 557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 884, 520, 557 is 1.
Highest Common Factor of 884,520,557 is 1
Step 1: Since 884 > 520, we apply the division lemma to 884 and 520, to get
884 = 520 x 1 + 364
Step 2: Since the reminder 520 ≠ 0, we apply division lemma to 364 and 520, to get
520 = 364 x 1 + 156
Step 3: We consider the new divisor 364 and the new remainder 156, and apply the division lemma to get
364 = 156 x 2 + 52
We consider the new divisor 156 and the new remainder 52, and apply the division lemma to get
156 = 52 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 52, the HCF of 884 and 520 is 52
Notice that 52 = HCF(156,52) = HCF(364,156) = HCF(520,364) = HCF(884,520) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 557 > 52, we apply the division lemma to 557 and 52, to get
557 = 52 x 10 + 37
Step 2: Since the reminder 52 ≠ 0, we apply division lemma to 37 and 52, to get
52 = 37 x 1 + 15
Step 3: We consider the new divisor 37 and the new remainder 15, and apply the division lemma to get
37 = 15 x 2 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 52 and 557 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(37,15) = HCF(52,37) = HCF(557,52) .
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Frequently Asked Questions on HCF of 884, 520, 557 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 884, 520, 557?
Answer: HCF of 884, 520, 557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 884, 520, 557 using Euclid's Algorithm?
Answer: For arbitrary numbers 884, 520, 557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.