Highest Common Factor of 825, 884, 773, 775 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 825, 884, 773, 775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 825, 884, 773, 775 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 825, 884, 773, 775 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 825, 884, 773, 775 is 1.
HCF(825, 884, 773, 775) = 1
HCF of 825, 884, 773, 775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 825, 884, 773, 775 is 1.
Highest Common Factor of 825,884,773,775 is 1
Step 1: Since 884 > 825, we apply the division lemma to 884 and 825, to get
884 = 825 x 1 + 59
Step 2: Since the reminder 825 ≠ 0, we apply division lemma to 59 and 825, to get
825 = 59 x 13 + 58
Step 3: We consider the new divisor 59 and the new remainder 58, and apply the division lemma to get
59 = 58 x 1 + 1
We consider the new divisor 58 and the new remainder 1, and apply the division lemma to get
58 = 1 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 825 and 884 is 1
Notice that 1 = HCF(58,1) = HCF(59,58) = HCF(825,59) = HCF(884,825) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 773 > 1, we apply the division lemma to 773 and 1, to get
773 = 1 x 773 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 773 is 1
Notice that 1 = HCF(773,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 775 > 1, we apply the division lemma to 775 and 1, to get
775 = 1 x 775 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 775 is 1
Notice that 1 = HCF(775,1) .
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Frequently Asked Questions on HCF of 825, 884, 773, 775 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 825, 884, 773, 775?
Answer: HCF of 825, 884, 773, 775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 825, 884, 773, 775 using Euclid's Algorithm?
Answer: For arbitrary numbers 825, 884, 773, 775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
