Highest Common Factor of 985, 620 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 985, 620 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 620 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 985, 620 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 985, 620 is 5.
HCF(985, 620) = 5
HCF of 985, 620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 620 is 5.
Highest Common Factor of 985,620 is 5
Step 1: Since 985 > 620, we apply the division lemma to 985 and 620, to get
985 = 620 x 1 + 365
Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 365 and 620, to get
620 = 365 x 1 + 255
Step 3: We consider the new divisor 365 and the new remainder 255, and apply the division lemma to get
365 = 255 x 1 + 110
We consider the new divisor 255 and the new remainder 110,and apply the division lemma to get
255 = 110 x 2 + 35
We consider the new divisor 110 and the new remainder 35,and apply the division lemma to get
110 = 35 x 3 + 5
We consider the new divisor 35 and the new remainder 5,and apply the division lemma to get
35 = 5 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 985 and 620 is 5
Notice that 5 = HCF(35,5) = HCF(110,35) = HCF(255,110) = HCF(365,255) = HCF(620,365) = HCF(985,620) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 985, 620 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 985, 620?
Answer: HCF of 985, 620 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.