Highest Common Factor of 9350, 7668 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 9350, 7668 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9350, 7668 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 9350, 7668 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 9350, 7668 is 2.
HCF(9350, 7668) = 2
HCF of 9350, 7668 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9350, 7668 is 2.
Highest Common Factor of 9350,7668 is 2
Step 1: Since 9350 > 7668, we apply the division lemma to 9350 and 7668, to get
9350 = 7668 x 1 + 1682
Step 2: Since the reminder 7668 ≠ 0, we apply division lemma to 1682 and 7668, to get
7668 = 1682 x 4 + 940
Step 3: We consider the new divisor 1682 and the new remainder 940, and apply the division lemma to get
1682 = 940 x 1 + 742
We consider the new divisor 940 and the new remainder 742,and apply the division lemma to get
940 = 742 x 1 + 198
We consider the new divisor 742 and the new remainder 198,and apply the division lemma to get
742 = 198 x 3 + 148
We consider the new divisor 198 and the new remainder 148,and apply the division lemma to get
198 = 148 x 1 + 50
We consider the new divisor 148 and the new remainder 50,and apply the division lemma to get
148 = 50 x 2 + 48
We consider the new divisor 50 and the new remainder 48,and apply the division lemma to get
50 = 48 x 1 + 2
We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get
48 = 2 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9350 and 7668 is 2
Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(148,50) = HCF(198,148) = HCF(742,198) = HCF(940,742) = HCF(1682,940) = HCF(7668,1682) = HCF(9350,7668) .
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Frequently Asked Questions on HCF of 9350, 7668 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 9350, 7668?
Answer: HCF of 9350, 7668 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9350, 7668 using Euclid's Algorithm?
Answer: For arbitrary numbers 9350, 7668 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.