Highest Common Factor of 776, 502, 716 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 776, 502, 716 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 776, 502, 716 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 776, 502, 716 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 776, 502, 716 is 2.
HCF(776, 502, 716) = 2
HCF of 776, 502, 716 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 776, 502, 716 is 2.
Highest Common Factor of 776,502,716 is 2
Step 1: Since 776 > 502, we apply the division lemma to 776 and 502, to get
776 = 502 x 1 + 274
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 274 and 502, to get
502 = 274 x 1 + 228
Step 3: We consider the new divisor 274 and the new remainder 228, and apply the division lemma to get
274 = 228 x 1 + 46
We consider the new divisor 228 and the new remainder 46,and apply the division lemma to get
228 = 46 x 4 + 44
We consider the new divisor 46 and the new remainder 44,and apply the division lemma to get
46 = 44 x 1 + 2
We consider the new divisor 44 and the new remainder 2,and apply the division lemma to get
44 = 2 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 776 and 502 is 2
Notice that 2 = HCF(44,2) = HCF(46,44) = HCF(228,46) = HCF(274,228) = HCF(502,274) = HCF(776,502) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 716 > 2, we apply the division lemma to 716 and 2, to get
716 = 2 x 358 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 716 is 2
Notice that 2 = HCF(716,2) .
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Frequently Asked Questions on HCF of 776, 502, 716 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 776, 502, 716?
Answer: HCF of 776, 502, 716 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 776, 502, 716 using Euclid's Algorithm?
Answer: For arbitrary numbers 776, 502, 716 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.