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 701, 995, 577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 701, 995, 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 701, 995, 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 701, 995, 577 is 1.
HCF(701, 995, 577) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 701, 995, 577 is 1.
Step 1: Since 995 > 701, we apply the division lemma to 995 and 701, to get
995 = 701 x 1 + 294
Step 2: Since the reminder 701 ≠ 0, we apply division lemma to 294 and 701, to get
701 = 294 x 2 + 113
Step 3: We consider the new divisor 294 and the new remainder 113, and apply the division lemma to get
294 = 113 x 2 + 68
We consider the new divisor 113 and the new remainder 68,and apply the division lemma to get
113 = 68 x 1 + 45
We consider the new divisor 68 and the new remainder 45,and apply the division lemma to get
68 = 45 x 1 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 701 and 995 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(113,68) = HCF(294,113) = HCF(701,294) = HCF(995,701) .
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 701, 995, 577?
Answer: HCF of 701, 995, 577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 701, 995, 577 using Euclid's Algorithm?
Answer: For arbitrary numbers 701, 995, 577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.