Highest Common Factor of 9452, 6770 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 9452, 6770 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9452, 6770 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 9452, 6770 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 9452, 6770 is 2.
HCF(9452, 6770) = 2
HCF of 9452, 6770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9452, 6770 is 2.
Highest Common Factor of 9452,6770 is 2
Step 1: Since 9452 > 6770, we apply the division lemma to 9452 and 6770, to get
9452 = 6770 x 1 + 2682
Step 2: Since the reminder 6770 ≠ 0, we apply division lemma to 2682 and 6770, to get
6770 = 2682 x 2 + 1406
Step 3: We consider the new divisor 2682 and the new remainder 1406, and apply the division lemma to get
2682 = 1406 x 1 + 1276
We consider the new divisor 1406 and the new remainder 1276,and apply the division lemma to get
1406 = 1276 x 1 + 130
We consider the new divisor 1276 and the new remainder 130,and apply the division lemma to get
1276 = 130 x 9 + 106
We consider the new divisor 130 and the new remainder 106,and apply the division lemma to get
130 = 106 x 1 + 24
We consider the new divisor 106 and the new remainder 24,and apply the division lemma to get
106 = 24 x 4 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9452 and 6770 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(106,24) = HCF(130,106) = HCF(1276,130) = HCF(1406,1276) = HCF(2682,1406) = HCF(6770,2682) = HCF(9452,6770) .
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Frequently Asked Questions on HCF of 9452, 6770 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 9452, 6770?
Answer: HCF of 9452, 6770 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9452, 6770 using Euclid's Algorithm?
Answer: For arbitrary numbers 9452, 6770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.