Highest Common Factor of 7789, 5574 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 7789, 5574 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7789, 5574 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 7789, 5574 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 7789, 5574 is 1.
HCF(7789, 5574) = 1
HCF of 7789, 5574 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7789, 5574 is 1.
Highest Common Factor of 7789,5574 is 1
Step 1: Since 7789 > 5574, we apply the division lemma to 7789 and 5574, to get
7789 = 5574 x 1 + 2215
Step 2: Since the reminder 5574 ≠ 0, we apply division lemma to 2215 and 5574, to get
5574 = 2215 x 2 + 1144
Step 3: We consider the new divisor 2215 and the new remainder 1144, and apply the division lemma to get
2215 = 1144 x 1 + 1071
We consider the new divisor 1144 and the new remainder 1071,and apply the division lemma to get
1144 = 1071 x 1 + 73
We consider the new divisor 1071 and the new remainder 73,and apply the division lemma to get
1071 = 73 x 14 + 49
We consider the new divisor 73 and the new remainder 49,and apply the division lemma to get
73 = 49 x 1 + 24
We consider the new divisor 49 and the new remainder 24,and apply the division lemma to get
49 = 24 x 2 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7789 and 5574 is 1
Notice that 1 = HCF(24,1) = HCF(49,24) = HCF(73,49) = HCF(1071,73) = HCF(1144,1071) = HCF(2215,1144) = HCF(5574,2215) = HCF(7789,5574) .
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Frequently Asked Questions on HCF of 7789, 5574 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 7789, 5574?
Answer: HCF of 7789, 5574 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7789, 5574 using Euclid's Algorithm?
Answer: For arbitrary numbers 7789, 5574 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.