Highest Common Factor of 5320, 6280 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 5320, 6280 i.e. 40 the largest integer that leaves a remainder zero for all numbers.
HCF of 5320, 6280 is 40 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 5320, 6280 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 5320, 6280 is 40.
HCF(5320, 6280) = 40
HCF of 5320, 6280 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5320, 6280 is 40.
Highest Common Factor of 5320,6280 is 40
Step 1: Since 6280 > 5320, we apply the division lemma to 6280 and 5320, to get
6280 = 5320 x 1 + 960
Step 2: Since the reminder 5320 ≠ 0, we apply division lemma to 960 and 5320, to get
5320 = 960 x 5 + 520
Step 3: We consider the new divisor 960 and the new remainder 520, and apply the division lemma to get
960 = 520 x 1 + 440
We consider the new divisor 520 and the new remainder 440,and apply the division lemma to get
520 = 440 x 1 + 80
We consider the new divisor 440 and the new remainder 80,and apply the division lemma to get
440 = 80 x 5 + 40
We consider the new divisor 80 and the new remainder 40,and apply the division lemma to get
80 = 40 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 40, the HCF of 5320 and 6280 is 40
Notice that 40 = HCF(80,40) = HCF(440,80) = HCF(520,440) = HCF(960,520) = HCF(5320,960) = HCF(6280,5320) .
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Frequently Asked Questions on HCF of 5320, 6280 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 5320, 6280?
Answer: HCF of 5320, 6280 is 40 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5320, 6280 using Euclid's Algorithm?
Answer: For arbitrary numbers 5320, 6280 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.