Highest Common Factor of 880, 46536 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, 46536 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 880, 46536 is 8 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, 46536 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, 46536 is 8.
HCF(880, 46536) = 8
HCF of 880, 46536 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, 46536 is 8.
Highest Common Factor of 880,46536 is 8
Step 1: Since 46536 > 880, we apply the division lemma to 46536 and 880, to get
46536 = 880 x 52 + 776
Step 2: Since the reminder 880 ≠ 0, we apply division lemma to 776 and 880, to get
880 = 776 x 1 + 104
Step 3: We consider the new divisor 776 and the new remainder 104, and apply the division lemma to get
776 = 104 x 7 + 48
We consider the new divisor 104 and the new remainder 48,and apply the division lemma to get
104 = 48 x 2 + 8
We consider the new divisor 48 and the new remainder 8,and apply the division lemma to get
48 = 8 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 880 and 46536 is 8
Notice that 8 = HCF(48,8) = HCF(104,48) = HCF(776,104) = HCF(880,776) = HCF(46536,880) .
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Frequently Asked Questions on HCF of 880, 46536 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, 46536?
Answer: HCF of 880, 46536 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 880, 46536 using Euclid's Algorithm?
Answer: For arbitrary numbers 880, 46536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.