Highest Common Factor of 8054, 7620 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 8054, 7620 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8054, 7620 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 8054, 7620 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 8054, 7620 is 2.
HCF(8054, 7620) = 2
HCF of 8054, 7620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8054, 7620 is 2.
Highest Common Factor of 8054,7620 is 2
Step 1: Since 8054 > 7620, we apply the division lemma to 8054 and 7620, to get
8054 = 7620 x 1 + 434
Step 2: Since the reminder 7620 ≠ 0, we apply division lemma to 434 and 7620, to get
7620 = 434 x 17 + 242
Step 3: We consider the new divisor 434 and the new remainder 242, and apply the division lemma to get
434 = 242 x 1 + 192
We consider the new divisor 242 and the new remainder 192,and apply the division lemma to get
242 = 192 x 1 + 50
We consider the new divisor 192 and the new remainder 50,and apply the division lemma to get
192 = 50 x 3 + 42
We consider the new divisor 50 and the new remainder 42,and apply the division lemma to get
50 = 42 x 1 + 8
We consider the new divisor 42 and the new remainder 8,and apply the division lemma to get
42 = 8 x 5 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8054 and 7620 is 2
Notice that 2 = HCF(8,2) = HCF(42,8) = HCF(50,42) = HCF(192,50) = HCF(242,192) = HCF(434,242) = HCF(7620,434) = HCF(8054,7620) .
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Frequently Asked Questions on HCF of 8054, 7620 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 8054, 7620?
Answer: HCF of 8054, 7620 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8054, 7620 using Euclid's Algorithm?
Answer: For arbitrary numbers 8054, 7620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.