Highest Common Factor of 3776, 2932 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 3776, 2932 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3776, 2932 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 3776, 2932 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 3776, 2932 is 4.
HCF(3776, 2932) = 4
HCF of 3776, 2932 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3776, 2932 is 4.
Highest Common Factor of 3776,2932 is 4
Step 1: Since 3776 > 2932, we apply the division lemma to 3776 and 2932, to get
3776 = 2932 x 1 + 844
Step 2: Since the reminder 2932 ≠ 0, we apply division lemma to 844 and 2932, to get
2932 = 844 x 3 + 400
Step 3: We consider the new divisor 844 and the new remainder 400, and apply the division lemma to get
844 = 400 x 2 + 44
We consider the new divisor 400 and the new remainder 44,and apply the division lemma to get
400 = 44 x 9 + 4
We consider the new divisor 44 and the new remainder 4,and apply the division lemma to get
44 = 4 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3776 and 2932 is 4
Notice that 4 = HCF(44,4) = HCF(400,44) = HCF(844,400) = HCF(2932,844) = HCF(3776,2932) .
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Frequently Asked Questions on HCF of 3776, 2932 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 3776, 2932?
Answer: HCF of 3776, 2932 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3776, 2932 using Euclid's Algorithm?
Answer: For arbitrary numbers 3776, 2932 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.