Highest Common Factor of 3772, 9092 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 3772, 9092 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3772, 9092 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 3772, 9092 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 3772, 9092 is 4.
HCF(3772, 9092) = 4
HCF of 3772, 9092 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3772, 9092 is 4.
Highest Common Factor of 3772,9092 is 4
Step 1: Since 9092 > 3772, we apply the division lemma to 9092 and 3772, to get
9092 = 3772 x 2 + 1548
Step 2: Since the reminder 3772 ≠ 0, we apply division lemma to 1548 and 3772, to get
3772 = 1548 x 2 + 676
Step 3: We consider the new divisor 1548 and the new remainder 676, and apply the division lemma to get
1548 = 676 x 2 + 196
We consider the new divisor 676 and the new remainder 196,and apply the division lemma to get
676 = 196 x 3 + 88
We consider the new divisor 196 and the new remainder 88,and apply the division lemma to get
196 = 88 x 2 + 20
We consider the new divisor 88 and the new remainder 20,and apply the division lemma to get
88 = 20 x 4 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3772 and 9092 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(88,20) = HCF(196,88) = HCF(676,196) = HCF(1548,676) = HCF(3772,1548) = HCF(9092,3772) .
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Frequently Asked Questions on HCF of 3772, 9092 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 3772, 9092?
Answer: HCF of 3772, 9092 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3772, 9092 using Euclid's Algorithm?
Answer: For arbitrary numbers 3772, 9092 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.