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 391, 715, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 391, 715, 577 is 1 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 391, 715, 577 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 391, 715, 577 is 1.
HCF(391, 715, 577) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 391, 715, 577 is 1.
Step 1: Since 715 > 391, we apply the division lemma to 715 and 391, to get
715 = 391 x 1 + 324
Step 2: Since the reminder 391 ≠ 0, we apply division lemma to 324 and 391, to get
391 = 324 x 1 + 67
Step 3: We consider the new divisor 324 and the new remainder 67, and apply the division lemma to get
324 = 67 x 4 + 56
We consider the new divisor 67 and the new remainder 56,and apply the division lemma to get
67 = 56 x 1 + 11
We consider the new divisor 56 and the new remainder 11,and apply the division lemma to get
56 = 11 x 5 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 391 and 715 is 1
Notice that 1 = HCF(11,1) = HCF(56,11) = HCF(67,56) = HCF(324,67) = HCF(391,324) = HCF(715,391) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 577 > 1, we apply the division lemma to 577 and 1, to get
577 = 1 x 577 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 577 is 1
Notice that 1 = HCF(577,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 391, 715, 577?
Answer: HCF of 391, 715, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 391, 715, 577 using Euclid's Algorithm?
Answer: For arbitrary numbers 391, 715, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.