Highest Common Factor of 8254, 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 8254, 7980 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8254, 7980 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 8254, 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 8254, 7980 is 2.
HCF(8254, 7980) = 2
HCF of 8254, 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 8254, 7980 is 2.
Highest Common Factor of 8254,7980 is 2
Step 1: Since 8254 > 7980, we apply the division lemma to 8254 and 7980, to get
8254 = 7980 x 1 + 274
Step 2: Since the reminder 7980 ≠ 0, we apply division lemma to 274 and 7980, to get
7980 = 274 x 29 + 34
Step 3: We consider the new divisor 274 and the new remainder 34, and apply the division lemma to get
274 = 34 x 8 + 2
We consider the new divisor 34 and the new remainder 2, and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8254 and 7980 is 2
Notice that 2 = HCF(34,2) = HCF(274,34) = HCF(7980,274) = HCF(8254,7980) .
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Frequently Asked Questions on HCF of 8254, 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 8254, 7980?
Answer: HCF of 8254, 7980 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8254, 7980 using Euclid's Algorithm?
Answer: For arbitrary numbers 8254, 7980 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.