Highest Common Factor of 4266, 7980 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 4266, 7980 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4266, 7980 is 6 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 4266, 7980 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 4266, 7980 is 6.
HCF(4266, 7980) = 6
HCF of 4266, 7980 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4266, 7980 is 6.
Highest Common Factor of 4266,7980 is 6
Step 1: Since 7980 > 4266, we apply the division lemma to 7980 and 4266, to get
7980 = 4266 x 1 + 3714
Step 2: Since the reminder 4266 ≠ 0, we apply division lemma to 3714 and 4266, to get
4266 = 3714 x 1 + 552
Step 3: We consider the new divisor 3714 and the new remainder 552, and apply the division lemma to get
3714 = 552 x 6 + 402
We consider the new divisor 552 and the new remainder 402,and apply the division lemma to get
552 = 402 x 1 + 150
We consider the new divisor 402 and the new remainder 150,and apply the division lemma to get
402 = 150 x 2 + 102
We consider the new divisor 150 and the new remainder 102,and apply the division lemma to get
150 = 102 x 1 + 48
We consider the new divisor 102 and the new remainder 48,and apply the division lemma to get
102 = 48 x 2 + 6
We consider the new divisor 48 and the new remainder 6,and apply the division lemma to get
48 = 6 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4266 and 7980 is 6
Notice that 6 = HCF(48,6) = HCF(102,48) = HCF(150,102) = HCF(402,150) = HCF(552,402) = HCF(3714,552) = HCF(4266,3714) = HCF(7980,4266) .
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Frequently Asked Questions on HCF of 4266, 7980 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 4266, 7980?
Answer: HCF of 4266, 7980 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4266, 7980 using Euclid's Algorithm?
Answer: For arbitrary numbers 4266, 7980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.