Highest Common Factor of 802, 527, 676 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 802, 527, 676 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 802, 527, 676 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 802, 527, 676 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 802, 527, 676 is 1.
HCF(802, 527, 676) = 1
HCF of 802, 527, 676 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 802, 527, 676 is 1.
Highest Common Factor of 802,527,676 is 1
Step 1: Since 802 > 527, we apply the division lemma to 802 and 527, to get
802 = 527 x 1 + 275
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 275 and 527, to get
527 = 275 x 1 + 252
Step 3: We consider the new divisor 275 and the new remainder 252, and apply the division lemma to get
275 = 252 x 1 + 23
We consider the new divisor 252 and the new remainder 23,and apply the division lemma to get
252 = 23 x 10 + 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 802 and 527 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(252,23) = HCF(275,252) = HCF(527,275) = HCF(802,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 676 > 1, we apply the division lemma to 676 and 1, to get
676 = 1 x 676 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 676 is 1
Notice that 1 = HCF(676,1) .
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Frequently Asked Questions on HCF of 802, 527, 676 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 802, 527, 676?
Answer: HCF of 802, 527, 676 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 802, 527, 676 using Euclid's Algorithm?
Answer: For arbitrary numbers 802, 527, 676 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.