Highest Common Factor of 385, 980, 679 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 385, 980, 679 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 385, 980, 679 is 7 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 385, 980, 679 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 385, 980, 679 is 7.
HCF(385, 980, 679) = 7
HCF of 385, 980, 679 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 385, 980, 679 is 7.
Highest Common Factor of 385,980,679 is 7
Step 1: Since 980 > 385, we apply the division lemma to 980 and 385, to get
980 = 385 x 2 + 210
Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 210 and 385, to get
385 = 210 x 1 + 175
Step 3: We consider the new divisor 210 and the new remainder 175, and apply the division lemma to get
210 = 175 x 1 + 35
We consider the new divisor 175 and the new remainder 35, and apply the division lemma to get
175 = 35 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 385 and 980 is 35
Notice that 35 = HCF(175,35) = HCF(210,175) = HCF(385,210) = HCF(980,385) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 679 > 35, we apply the division lemma to 679 and 35, to get
679 = 35 x 19 + 14
Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 14 and 35, to get
35 = 14 x 2 + 7
Step 3: We consider the new divisor 14 and the new remainder 7, and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 35 and 679 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(679,35) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 385, 980, 679 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 385, 980, 679?
Answer: HCF of 385, 980, 679 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 385, 980, 679 using Euclid's Algorithm?
Answer: For arbitrary numbers 385, 980, 679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.