Highest Common Factor of 4984, 5278 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 4984, 5278 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 4984, 5278 is 14 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 4984, 5278 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 4984, 5278 is 14.
HCF(4984, 5278) = 14
HCF of 4984, 5278 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4984, 5278 is 14.
Highest Common Factor of 4984,5278 is 14
Step 1: Since 5278 > 4984, we apply the division lemma to 5278 and 4984, to get
5278 = 4984 x 1 + 294
Step 2: Since the reminder 4984 ≠ 0, we apply division lemma to 294 and 4984, to get
4984 = 294 x 16 + 280
Step 3: We consider the new divisor 294 and the new remainder 280, and apply the division lemma to get
294 = 280 x 1 + 14
We consider the new divisor 280 and the new remainder 14, and apply the division lemma to get
280 = 14 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 4984 and 5278 is 14
Notice that 14 = HCF(280,14) = HCF(294,280) = HCF(4984,294) = HCF(5278,4984) .
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Frequently Asked Questions on HCF of 4984, 5278 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 4984, 5278?
Answer: HCF of 4984, 5278 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4984, 5278 using Euclid's Algorithm?
Answer: For arbitrary numbers 4984, 5278 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.