Highest Common Factor of 426, 503, 882, 860 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 426, 503, 882, 860 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 426, 503, 882, 860 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 426, 503, 882, 860 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 426, 503, 882, 860 is 1.
HCF(426, 503, 882, 860) = 1
HCF of 426, 503, 882, 860 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 426, 503, 882, 860 is 1.
Highest Common Factor of 426,503,882,860 is 1
Step 1: Since 503 > 426, we apply the division lemma to 503 and 426, to get
503 = 426 x 1 + 77
Step 2: Since the reminder 426 ≠ 0, we apply division lemma to 77 and 426, to get
426 = 77 x 5 + 41
Step 3: We consider the new divisor 77 and the new remainder 41, and apply the division lemma to get
77 = 41 x 1 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 426 and 503 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(426,77) = HCF(503,426) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 882 > 1, we apply the division lemma to 882 and 1, to get
882 = 1 x 882 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 882 is 1
Notice that 1 = HCF(882,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 860 > 1, we apply the division lemma to 860 and 1, to get
860 = 1 x 860 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 860 is 1
Notice that 1 = HCF(860,1) .
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Frequently Asked Questions on HCF of 426, 503, 882, 860 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 426, 503, 882, 860?
Answer: HCF of 426, 503, 882, 860 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 426, 503, 882, 860 using Euclid's Algorithm?
Answer: For arbitrary numbers 426, 503, 882, 860 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.