Highest Common Factor of 766, 5375, 3842 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 766, 5375, 3842 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 766, 5375, 3842 is 1 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 766, 5375, 3842 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 766, 5375, 3842 is 1.
HCF(766, 5375, 3842) = 1
HCF of 766, 5375, 3842 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 766, 5375, 3842 is 1.
Highest Common Factor of 766,5375,3842 is 1
Step 1: Since 5375 > 766, we apply the division lemma to 5375 and 766, to get
5375 = 766 x 7 + 13
Step 2: Since the reminder 766 ≠ 0, we apply division lemma to 13 and 766, to get
766 = 13 x 58 + 12
Step 3: We consider the new divisor 13 and the new remainder 12, and apply the division lemma to get
13 = 12 x 1 + 1
We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 766 and 5375 is 1
Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(766,13) = HCF(5375,766) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3842 > 1, we apply the division lemma to 3842 and 1, to get
3842 = 1 x 3842 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3842 is 1
Notice that 1 = HCF(3842,1) .
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Frequently Asked Questions on HCF of 766, 5375, 3842 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 766, 5375, 3842?
Answer: HCF of 766, 5375, 3842 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 766, 5375, 3842 using Euclid's Algorithm?
Answer: For arbitrary numbers 766, 5375, 3842 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.