Highest Common Factor of 772, 435, 848 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 772, 435, 848 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 772, 435, 848 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 772, 435, 848 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 772, 435, 848 is 1.
HCF(772, 435, 848) = 1
HCF of 772, 435, 848 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 772, 435, 848 is 1.
Highest Common Factor of 772,435,848 is 1
Step 1: Since 772 > 435, we apply the division lemma to 772 and 435, to get
772 = 435 x 1 + 337
Step 2: Since the reminder 435 ≠ 0, we apply division lemma to 337 and 435, to get
435 = 337 x 1 + 98
Step 3: We consider the new divisor 337 and the new remainder 98, and apply the division lemma to get
337 = 98 x 3 + 43
We consider the new divisor 98 and the new remainder 43,and apply the division lemma to get
98 = 43 x 2 + 12
We consider the new divisor 43 and the new remainder 12,and apply the division lemma to get
43 = 12 x 3 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 772 and 435 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(43,12) = HCF(98,43) = HCF(337,98) = HCF(435,337) = HCF(772,435) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 848 > 1, we apply the division lemma to 848 and 1, to get
848 = 1 x 848 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 848 is 1
Notice that 1 = HCF(848,1) .
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Frequently Asked Questions on HCF of 772, 435, 848 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 772, 435, 848?
Answer: HCF of 772, 435, 848 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 772, 435, 848 using Euclid's Algorithm?
Answer: For arbitrary numbers 772, 435, 848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.