Highest Common Factor of 3052, 8076 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 3052, 8076 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 3052, 8076 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 3052, 8076 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 3052, 8076 is 4.
HCF(3052, 8076) = 4
HCF of 3052, 8076 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3052, 8076 is 4.
Highest Common Factor of 3052,8076 is 4
Step 1: Since 8076 > 3052, we apply the division lemma to 8076 and 3052, to get
8076 = 3052 x 2 + 1972
Step 2: Since the reminder 3052 ≠ 0, we apply division lemma to 1972 and 3052, to get
3052 = 1972 x 1 + 1080
Step 3: We consider the new divisor 1972 and the new remainder 1080, and apply the division lemma to get
1972 = 1080 x 1 + 892
We consider the new divisor 1080 and the new remainder 892,and apply the division lemma to get
1080 = 892 x 1 + 188
We consider the new divisor 892 and the new remainder 188,and apply the division lemma to get
892 = 188 x 4 + 140
We consider the new divisor 188 and the new remainder 140,and apply the division lemma to get
188 = 140 x 1 + 48
We consider the new divisor 140 and the new remainder 48,and apply the division lemma to get
140 = 48 x 2 + 44
We consider the new divisor 48 and the new remainder 44,and apply the division lemma to get
48 = 44 x 1 + 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 3052 and 8076 is 4
Notice that 4 = HCF(44,4) = HCF(48,44) = HCF(140,48) = HCF(188,140) = HCF(892,188) = HCF(1080,892) = HCF(1972,1080) = HCF(3052,1972) = HCF(8076,3052) .
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Frequently Asked Questions on HCF of 3052, 8076 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 3052, 8076?
Answer: HCF of 3052, 8076 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3052, 8076 using Euclid's Algorithm?
Answer: For arbitrary numbers 3052, 8076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.