Highest Common Factor of 7735, 1358 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 7735, 1358 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7735, 1358 is 7 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 7735, 1358 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 7735, 1358 is 7.
HCF(7735, 1358) = 7
HCF of 7735, 1358 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7735, 1358 is 7.
Highest Common Factor of 7735,1358 is 7
Step 1: Since 7735 > 1358, we apply the division lemma to 7735 and 1358, to get
7735 = 1358 x 5 + 945
Step 2: Since the reminder 1358 ≠ 0, we apply division lemma to 945 and 1358, to get
1358 = 945 x 1 + 413
Step 3: We consider the new divisor 945 and the new remainder 413, and apply the division lemma to get
945 = 413 x 2 + 119
We consider the new divisor 413 and the new remainder 119,and apply the division lemma to get
413 = 119 x 3 + 56
We consider the new divisor 119 and the new remainder 56,and apply the division lemma to get
119 = 56 x 2 + 7
We consider the new divisor 56 and the new remainder 7,and apply the division lemma to get
56 = 7 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7735 and 1358 is 7
Notice that 7 = HCF(56,7) = HCF(119,56) = HCF(413,119) = HCF(945,413) = HCF(1358,945) = HCF(7735,1358) .
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Frequently Asked Questions on HCF of 7735, 1358 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 7735, 1358?
Answer: HCF of 7735, 1358 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7735, 1358 using Euclid's Algorithm?
Answer: For arbitrary numbers 7735, 1358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.