Highest Common Factor of 9520, 6628 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 9520, 6628 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9520, 6628 is 4 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 9520, 6628 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 9520, 6628 is 4.
HCF(9520, 6628) = 4
HCF of 9520, 6628 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9520, 6628 is 4.
Highest Common Factor of 9520,6628 is 4
Step 1: Since 9520 > 6628, we apply the division lemma to 9520 and 6628, to get
9520 = 6628 x 1 + 2892
Step 2: Since the reminder 6628 ≠ 0, we apply division lemma to 2892 and 6628, to get
6628 = 2892 x 2 + 844
Step 3: We consider the new divisor 2892 and the new remainder 844, and apply the division lemma to get
2892 = 844 x 3 + 360
We consider the new divisor 844 and the new remainder 360,and apply the division lemma to get
844 = 360 x 2 + 124
We consider the new divisor 360 and the new remainder 124,and apply the division lemma to get
360 = 124 x 2 + 112
We consider the new divisor 124 and the new remainder 112,and apply the division lemma to get
124 = 112 x 1 + 12
We consider the new divisor 112 and the new remainder 12,and apply the division lemma to get
112 = 12 x 9 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9520 and 6628 is 4
Notice that 4 = HCF(12,4) = HCF(112,12) = HCF(124,112) = HCF(360,124) = HCF(844,360) = HCF(2892,844) = HCF(6628,2892) = HCF(9520,6628) .
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Frequently Asked Questions on HCF of 9520, 6628 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 9520, 6628?
Answer: HCF of 9520, 6628 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9520, 6628 using Euclid's Algorithm?
Answer: For arbitrary numbers 9520, 6628 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.