Highest Common Factor of 980, 5472 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, 5472 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 980, 5472 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, 5472 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, 5472 is 4.
HCF(980, 5472) = 4
HCF of 980, 5472 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, 5472 is 4.
Highest Common Factor of 980,5472 is 4
Step 1: Since 5472 > 980, we apply the division lemma to 5472 and 980, to get
5472 = 980 x 5 + 572
Step 2: Since the reminder 980 ≠ 0, we apply division lemma to 572 and 980, to get
980 = 572 x 1 + 408
Step 3: We consider the new divisor 572 and the new remainder 408, and apply the division lemma to get
572 = 408 x 1 + 164
We consider the new divisor 408 and the new remainder 164,and apply the division lemma to get
408 = 164 x 2 + 80
We consider the new divisor 164 and the new remainder 80,and apply the division lemma to get
164 = 80 x 2 + 4
We consider the new divisor 80 and the new remainder 4,and apply the division lemma to get
80 = 4 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 980 and 5472 is 4
Notice that 4 = HCF(80,4) = HCF(164,80) = HCF(408,164) = HCF(572,408) = HCF(980,572) = HCF(5472,980) .
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Frequently Asked Questions on HCF of 980, 5472 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, 5472?
Answer: HCF of 980, 5472 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 980, 5472 using Euclid's Algorithm?
Answer: For arbitrary numbers 980, 5472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.