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 607, 136, 508, 102 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 607, 136, 508, 102 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 607, 136, 508, 102 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 607, 136, 508, 102 is 1.
HCF(607, 136, 508, 102) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 607, 136, 508, 102 is 1.
Step 1: Since 607 > 136, we apply the division lemma to 607 and 136, to get
607 = 136 x 4 + 63
Step 2: Since the reminder 136 ≠ 0, we apply division lemma to 63 and 136, to get
136 = 63 x 2 + 10
Step 3: We consider the new divisor 63 and the new remainder 10, and apply the division lemma to get
63 = 10 x 6 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 607 and 136 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(63,10) = HCF(136,63) = HCF(607,136) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 508 > 1, we apply the division lemma to 508 and 1, to get
508 = 1 x 508 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 508 is 1
Notice that 1 = HCF(508,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 102 > 1, we apply the division lemma to 102 and 1, to get
102 = 1 x 102 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 102 is 1
Notice that 1 = HCF(102,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 607, 136, 508, 102?
Answer: HCF of 607, 136, 508, 102 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 607, 136, 508, 102 using Euclid's Algorithm?
Answer: For arbitrary numbers 607, 136, 508, 102 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.