Highest Common Factor of 4246, 7616 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 4246, 7616 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4246, 7616 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 4246, 7616 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 4246, 7616 is 2.
HCF(4246, 7616) = 2
HCF of 4246, 7616 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4246, 7616 is 2.
Highest Common Factor of 4246,7616 is 2
Step 1: Since 7616 > 4246, we apply the division lemma to 7616 and 4246, to get
7616 = 4246 x 1 + 3370
Step 2: Since the reminder 4246 ≠ 0, we apply division lemma to 3370 and 4246, to get
4246 = 3370 x 1 + 876
Step 3: We consider the new divisor 3370 and the new remainder 876, and apply the division lemma to get
3370 = 876 x 3 + 742
We consider the new divisor 876 and the new remainder 742,and apply the division lemma to get
876 = 742 x 1 + 134
We consider the new divisor 742 and the new remainder 134,and apply the division lemma to get
742 = 134 x 5 + 72
We consider the new divisor 134 and the new remainder 72,and apply the division lemma to get
134 = 72 x 1 + 62
We consider the new divisor 72 and the new remainder 62,and apply the division lemma to get
72 = 62 x 1 + 10
We consider the new divisor 62 and the new remainder 10,and apply the division lemma to get
62 = 10 x 6 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4246 and 7616 is 2
Notice that 2 = HCF(10,2) = HCF(62,10) = HCF(72,62) = HCF(134,72) = HCF(742,134) = HCF(876,742) = HCF(3370,876) = HCF(4246,3370) = HCF(7616,4246) .
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Frequently Asked Questions on HCF of 4246, 7616 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 4246, 7616?
Answer: HCF of 4246, 7616 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4246, 7616 using Euclid's Algorithm?
Answer: For arbitrary numbers 4246, 7616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.