Highest Common Factor of 980, 2456 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 980, 2456 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 2456 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 980, 2456 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 980, 2456 is 4.
HCF(980, 2456) = 4
HCF of 980, 2456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 980, 2456 is 4.
Highest Common Factor of 980,2456 is 4
Step 1: Since 2456 > 980, we apply the division lemma to 2456 and 980, to get
2456 = 980 x 2 + 496
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 496 and 980, to get
980 = 496 x 1 + 484
Step 3: We consider the new divisor 496 and the new remainder 484, and apply the division lemma to get
496 = 484 x 1 + 12
We consider the new divisor 484 and the new remainder 12,and apply the division lemma to get
484 = 12 x 40 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 980 and 2456 is 4
Notice that 4 = HCF(12,4) = HCF(484,12) = HCF(496,484) = HCF(980,496) = HCF(2456,980) .
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Frequently Asked Questions on HCF of 980, 2456 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 980, 2456?
Answer: HCF of 980, 2456 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 2456 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 2456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.