Highest Common Factor of 770, 5054, 9532 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 770, 5054, 9532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 770, 5054, 9532 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 770, 5054, 9532 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 770, 5054, 9532 is 2.
HCF(770, 5054, 9532) = 2
HCF of 770, 5054, 9532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 770, 5054, 9532 is 2.
Highest Common Factor of 770,5054,9532 is 2
Step 1: Since 5054 > 770, we apply the division lemma to 5054 and 770, to get
5054 = 770 x 6 + 434
Step 2: Since the reminder 770 ≠ 0, we apply division lemma to 434 and 770, to get
770 = 434 x 1 + 336
Step 3: We consider the new divisor 434 and the new remainder 336, and apply the division lemma to get
434 = 336 x 1 + 98
We consider the new divisor 336 and the new remainder 98,and apply the division lemma to get
336 = 98 x 3 + 42
We consider the new divisor 98 and the new remainder 42,and apply the division lemma to get
98 = 42 x 2 + 14
We consider the new divisor 42 and the new remainder 14,and apply the division lemma to get
42 = 14 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 770 and 5054 is 14
Notice that 14 = HCF(42,14) = HCF(98,42) = HCF(336,98) = HCF(434,336) = HCF(770,434) = HCF(5054,770) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9532 > 14, we apply the division lemma to 9532 and 14, to get
9532 = 14 x 680 + 12
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 12 and 14, to get
14 = 12 x 1 + 2
Step 3: We consider the new divisor 12 and the new remainder 2, and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 14 and 9532 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(9532,14) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 770, 5054, 9532 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 770, 5054, 9532?
Answer: HCF of 770, 5054, 9532 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 770, 5054, 9532 using Euclid's Algorithm?
Answer: For arbitrary numbers 770, 5054, 9532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.