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 710, 680, 191, 93 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 710, 680, 191, 93 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 710, 680, 191, 93 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 710, 680, 191, 93 is 1.
HCF(710, 680, 191, 93) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 710, 680, 191, 93 is 1.
Step 1: Since 710 > 680, we apply the division lemma to 710 and 680, to get
710 = 680 x 1 + 30
Step 2: Since the reminder 680 ≠ 0, we apply division lemma to 30 and 680, to get
680 = 30 x 22 + 20
Step 3: We consider the new divisor 30 and the new remainder 20, and apply the division lemma to get
30 = 20 x 1 + 10
We consider the new divisor 20 and the new remainder 10, and apply the division lemma to get
20 = 10 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 710 and 680 is 10
Notice that 10 = HCF(20,10) = HCF(30,20) = HCF(680,30) = HCF(710,680) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 191 > 10, we apply the division lemma to 191 and 10, to get
191 = 10 x 19 + 1
Step 2: Since the reminder 10 ≠ 0, we apply division lemma to 1 and 10, to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 10 and 191 is 1
Notice that 1 = HCF(10,1) = HCF(191,10) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93 > 1, we apply the division lemma to 93 and 1, to get
93 = 1 x 93 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93 is 1
Notice that 1 = HCF(93,1) .
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 710, 680, 191, 93?
Answer: HCF of 710, 680, 191, 93 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 710, 680, 191, 93 using Euclid's Algorithm?
Answer: For arbitrary numbers 710, 680, 191, 93 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.