Highest Common Factor of 716, 5290 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 716, 5290 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 716, 5290 is 2 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 716, 5290 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 716, 5290 is 2.
HCF(716, 5290) = 2
HCF of 716, 5290 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 716, 5290 is 2.
Highest Common Factor of 716,5290 is 2
Step 1: Since 5290 > 716, we apply the division lemma to 5290 and 716, to get
5290 = 716 x 7 + 278
Step 2: Since the reminder 716 ≠ 0, we apply division lemma to 278 and 716, to get
716 = 278 x 2 + 160
Step 3: We consider the new divisor 278 and the new remainder 160, and apply the division lemma to get
278 = 160 x 1 + 118
We consider the new divisor 160 and the new remainder 118,and apply the division lemma to get
160 = 118 x 1 + 42
We consider the new divisor 118 and the new remainder 42,and apply the division lemma to get
118 = 42 x 2 + 34
We consider the new divisor 42 and the new remainder 34,and apply the division lemma to get
42 = 34 x 1 + 8
We consider the new divisor 34 and the new remainder 8,and apply the division lemma to get
34 = 8 x 4 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 716 and 5290 is 2
Notice that 2 = HCF(8,2) = HCF(34,8) = HCF(42,34) = HCF(118,42) = HCF(160,118) = HCF(278,160) = HCF(716,278) = HCF(5290,716) .
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Frequently Asked Questions on HCF of 716, 5290 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 716, 5290?
Answer: HCF of 716, 5290 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 716, 5290 using Euclid's Algorithm?
Answer: For arbitrary numbers 716, 5290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
