Highest Common Factor of 880, 3976, 9086 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 880, 3976, 9086 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 3976, 9086 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 880, 3976, 9086 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 880, 3976, 9086 is 2.
HCF(880, 3976, 9086) = 2
HCF of 880, 3976, 9086 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 880, 3976, 9086 is 2.
Highest Common Factor of 880,3976,9086 is 2
Step 1: Since 3976 > 880, we apply the division lemma to 3976 and 880, to get
3976 = 880 x 4 + 456
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 456 and 880, to get
880 = 456 x 1 + 424
Step 3: We consider the new divisor 456 and the new remainder 424, and apply the division lemma to get
456 = 424 x 1 + 32
We consider the new divisor 424 and the new remainder 32,and apply the division lemma to get
424 = 32 x 13 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 880 and 3976 is 8
Notice that 8 = HCF(32,8) = HCF(424,32) = HCF(456,424) = HCF(880,456) = HCF(3976,880) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9086 > 8, we apply the division lemma to 9086 and 8, to get
9086 = 8 x 1135 + 6
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 6 and 8, to get
8 = 6 x 1 + 2
Step 3: We consider the new divisor 6 and the new remainder 2, and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 9086 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(9086,8) .
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Frequently Asked Questions on HCF of 880, 3976, 9086 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 880, 3976, 9086?
Answer: HCF of 880, 3976, 9086 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 3976, 9086 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 3976, 9086 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.