Highest Common Factor of 775, 5920 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 775, 5920 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 5920 is 5 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 775, 5920 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 775, 5920 is 5.
HCF(775, 5920) = 5
HCF of 775, 5920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 5920 is 5.
Highest Common Factor of 775,5920 is 5
Step 1: Since 5920 > 775, we apply the division lemma to 5920 and 775, to get
5920 = 775 x 7 + 495
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 495 and 775, to get
775 = 495 x 1 + 280
Step 3: We consider the new divisor 495 and the new remainder 280, and apply the division lemma to get
495 = 280 x 1 + 215
We consider the new divisor 280 and the new remainder 215,and apply the division lemma to get
280 = 215 x 1 + 65
We consider the new divisor 215 and the new remainder 65,and apply the division lemma to get
215 = 65 x 3 + 20
We consider the new divisor 65 and the new remainder 20,and apply the division lemma to get
65 = 20 x 3 + 5
We consider the new divisor 20 and the new remainder 5,and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 775 and 5920 is 5
Notice that 5 = HCF(20,5) = HCF(65,20) = HCF(215,65) = HCF(280,215) = HCF(495,280) = HCF(775,495) = HCF(5920,775) .
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Frequently Asked Questions on HCF of 775, 5920 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 775, 5920?
Answer: HCF of 775, 5920 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 5920 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 5920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.