Highest Common Factor of 710, 898, 714, 13 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 710, 898, 714, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 710, 898, 714, 13 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, 898, 714, 13 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, 898, 714, 13 is 1.
HCF(710, 898, 714, 13) = 1
HCF of 710, 898, 714, 13 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 710, 898, 714, 13 is 1.
Highest Common Factor of 710,898,714,13 is 1
Step 1: Since 898 > 710, we apply the division lemma to 898 and 710, to get
898 = 710 x 1 + 188
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 188 and 710, to get
710 = 188 x 3 + 146
Step 3: We consider the new divisor 188 and the new remainder 146, and apply the division lemma to get
188 = 146 x 1 + 42
We consider the new divisor 146 and the new remainder 42,and apply the division lemma to get
146 = 42 x 3 + 20
We consider the new divisor 42 and the new remainder 20,and apply the division lemma to get
42 = 20 x 2 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 710 and 898 is 2
Notice that 2 = HCF(20,2) = HCF(42,20) = HCF(146,42) = HCF(188,146) = HCF(710,188) = HCF(898,710) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 714 > 2, we apply the division lemma to 714 and 2, to get
714 = 2 x 357 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 714 is 2
Notice that 2 = HCF(714,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13 > 2, we apply the division lemma to 13 and 2, to get
13 = 2 x 6 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 13 is 1
Notice that 1 = HCF(2,1) = HCF(13,2) .
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Frequently Asked Questions on HCF of 710, 898, 714, 13 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 710, 898, 714, 13?
Answer: HCF of 710, 898, 714, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 710, 898, 714, 13 using Euclid's Algorithm?
Answer: For arbitrary numbers 710, 898, 714, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.