Highest Common Factor of 4726, 8670 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 4726, 8670 i.e. 34 the largest integer that leaves a remainder zero for all numbers.
HCF of 4726, 8670 is 34 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 4726, 8670 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 4726, 8670 is 34.
HCF(4726, 8670) = 34
HCF of 4726, 8670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4726, 8670 is 34.
Highest Common Factor of 4726,8670 is 34
Step 1: Since 8670 > 4726, we apply the division lemma to 8670 and 4726, to get
8670 = 4726 x 1 + 3944
Step 2: Since the reminder 4726 ≠ 0, we apply division lemma to 3944 and 4726, to get
4726 = 3944 x 1 + 782
Step 3: We consider the new divisor 3944 and the new remainder 782, and apply the division lemma to get
3944 = 782 x 5 + 34
We consider the new divisor 782 and the new remainder 34, and apply the division lemma to get
782 = 34 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 34, the HCF of 4726 and 8670 is 34
Notice that 34 = HCF(782,34) = HCF(3944,782) = HCF(4726,3944) = HCF(8670,4726) .
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Frequently Asked Questions on HCF of 4726, 8670 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 4726, 8670?
Answer: HCF of 4726, 8670 is 34 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4726, 8670 using Euclid's Algorithm?
Answer: For arbitrary numbers 4726, 8670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
